1. A dependent variable is also known as a(n). a. explanatory variable b. control variable c. predictor variable d. response variable ANSWER:

Size: px
Start display at page:

Download "1. A dependent variable is also known as a(n). a. explanatory variable b. control variable c. predictor variable d. response variable ANSWER:"

Transcription

1 1. A epenent variale is also known as a(n). a. explanatory variale. ontrol variale. preitor variale. response variale FEEDBACK: A epenent variale is known as a response variale. Definition of the Simple Regression Moel 2. If a hange in variale x auses a hange in variale y, variale x is alle the. a. epenent variale. explaine variale. explanatory variale. response variale FEEDBACK: If a hange in variale x auses a hange in variale y, variale x is alle the inepenent variale or the explanatory variale. Definition of the Simple Regression Moel Bloom s: Comprehension 3. In the equation is the. a. epenent variale. inepenent variale. slope parameter. interept parameter FEEDBACK: In the equation Definition of the Simple Regression Moel is the interept parameter. 4. In the equation, what is the estimate value of? a.. Cengage Learning Testing, Powere y Cognero Page 1

2 .. a FEEDBACK: The estimate value of is. 5. In the equation, enotes onsumption an i enotes inome. What is the resiual for the 5 th oservation if =$500 an =$475? a. $975. $300. $25. $50 FEEDBACK: The formula for alulating the resiual for the i th oservation is. In this ase, the resiual is Bloom s: Appliation 6. What oes the equation enote if the regression equation is? a. The explaine sum of squares. The total sum of squares. The sample regression funtion. The population regression funtion FEEDBACK: The equation given regression moel. enotes the sample regression funtion of the Cengage Learning Testing, Powere y Cognero Page 2

3 7. If x i an y i are positively orrelate in the sample then the estimate slope is. a. less than zero. greater than zero. equal to zero. equal to one FEEDBACK: If x i an y i are positively orrelate in the sample then the estimate slope is greater than zero. Bloom's: Knowlege 8. The sample orrelation etween xi an yi is enote y. a.... FEEDBACK: The sample orrelation etween x i an yi is enote y. Bloom's: Knowlege 9. Consier the following regression moel: y = 0 + 1x 1 + u. Whih of the following is a property of Orinary Least Square (OLS) estimates of this moel an their assoiate statistis? a. The sum, an therefore the sample average of the OLS resiuals, is positive.. The sum of the OLS resiuals is negative.. The sample ovariane etween the regressors an the OLS resiuals is positive.. The point ( ) always lies on the OLS regression line. FEEDBACK: An important property of the OLS estimates is that the point ( ) always lies on the OLS regression line. In other wors, if, the preite value of y is. Cengage Learning Testing, Powere y Cognero Page 3

4 10. The explaine sum of squares for the regression funtion,, is efine as. a.... FEEDBACK: The explaine sum of squares is efine as. 11. If the total sum of squares (SST) in a regression equation is 81, an the resiual sum of squares (SSR) is 25, what is the explaine sum of squares (SSE)? a FEEDBACK: Total sum of squares (SST) is given y the sum of explaine sum of squares (SSE) an resiual sum of squares (SSR). Therefore, in this ase, SSE=81-25=56. Moerate - BUSPROG: Analyti Bloom s: Appliation 12. If the resiual sum of squares (SSR) in a regression analysis is 66 an the total sum of squares (SST) is equal to 90, what is the value of the oeffiient of etermination? a FEEDBACK: The formula for alulating the oeffiient of etermination is. In this ase,. Cengage Learning Testing, Powere y Cognero Page 4

5 Moerate - BUSPROG: Analyti Bloom s: Appliation 13. Whih of the following is a nonlinear regression moel? a. y = 0 + 1x 1/2 + u. log y = 0 + 1log x +u. y = 1 / ( 0 + 1x) + u. y = 0 + 1x + u FEEDBACK: A regression moel is nonlinear if the equation is nonlinear in the parameters. In this ase, y = 1 / ( 0 + 1x) + u is nonlinear as it is nonlinear in its parameters. Moerate Bloom s: Comprehension 14. In a regression equation, hanging the units of measurement of only the inepenent variale oes not affet the. a. epenent variale. slope. interept. error term FEEDBACK: In a regression equation, hanging the units of measurement of only the inepenent variale oes not affet the interept. Units of Measurement an Funtional Form Bloom's: Knowlege 15. Whih of the following is assume for estalishing the uniaseness of Orinary Least Square (OLS) estimates? a. The error term has an expete value of 1 given any value of the explanatory variale.. The regression equation is linear in the explaine an explanatory variales.. The sample outomes on the explanatory variale are all the same value.. The error term has the same variane given any value of the explanatory variale. FEEDBACK: The error u has the same variane given any value of the explanatory variale. Cengage Learning Testing, Powere y Cognero Page 5

6 Expete Values an Varianes of the OLS Estimators 16. The error term in a regression equation is sai to exhiit homoskeastity if. a. it has zero onitional mean. it has the same variane for all values of the explanatory variale. it has the same value for all values of the explanatory variale. if the error term has a value of one given any value of the explanatory variale FEEDBACK: The error term in a regression equation is sai to exhiit homoskeastity if it has the same variane for all values of the explanatory variale. Expete Values an Varianes of the OLS Estimators 17. In the regression of y on x, the error term exhiits heteroskeastiity if. a. it has a onstant variane. Var(y x) is a funtion of x. x is a funtion of y. y is a funtion of x FEEDBACK: Heteroskeastiity is present whenever Var(y x) is a funtion of x eause Var(u x) = Var(y x). Expete Values an Varianes of the OLS Estimators 18. What is the estimate value of the slope parameter when the regression equation, y = 0 + 1x 1 + u passes through the origin? a.... Cengage Learning Testing, Powere y Cognero Page 6

7 FEEDBACK: The estimate value of the slope parameter when the regression equation passes through the origin is. Regression through the Origin an Regression on a Constant 19. A natural measure of the assoiation etween two ranom variales is the orrelation oeffiient. True FEEDBACK: A natural measure of the assoiation etween two ranom variales is the orrelation oeffiient. Definition of the Simple Regression Moel 20. Simple regression is an analysis of orrelation etween two variales. True FEEDBACK: Simple regression is an analysis of orrelation etween two variales. Bloom's: Knowlege 21. The sample ovariane etween the regressors an the Orinary Least Square (OLS) resiuals is always positive. False FEEDBACK: The sample ovariane etween the regressors an the Orinary Least Square (OLS) resiuals is zero. Cengage Learning Testing, Powere y Cognero Page 7

8 22. R 2 is the ratio of the explaine variation ompare to the total variation. True FEEDBACK: The sample ovariane etween the regressors an the Orinary Least Square (OLS) resiuals is zero. 23. There are n-1 egrees of freeom in Orinary Least Square resiuals. False FEEDBACK: There are n-2 egrees of freeom in Orinary Least Square resiuals. Expete Values an Varianes of the OLS Estimators 24. The variane of the slope estimator inreases as the error variane ereases. False FEEDBACK: The variane of the slope estimator inreases as the error variane inreases. Expete Values an Varianes of the OLS Estimators 25. In general, the onstant that proues the smallest sum of square eviations is always the sample average. True FEEDBACK: In general, the onstant that proues the smallest sum of square eviations is always the sample average. Regression through the Origin an Regression on a Constant Bloom's: Knowlege Cengage Learning Testing, Powere y Cognero Page 8

9 Cengage Learning Testing, Powere y Cognero Page 9

Intercepts To find the y-intercept (b, fixed value or starting value), set x = 0 and solve for y. To find the x-intercept, set y = 0 and solve for x.

Intercepts To find the y-intercept (b, fixed value or starting value), set x = 0 and solve for y. To find the x-intercept, set y = 0 and solve for x. Units 4 an 5: Linear Relations partial variation iret variation Points on a Coorinate Gri (x-oorinate, y-oorinate) origin is (0, 0) "run, then jump" Interepts To fin the y-interept (, fixe value or starting

More information

On the sustainability of collusion in Bertrand supergames with discrete pricing and nonlinear demand

On the sustainability of collusion in Bertrand supergames with discrete pricing and nonlinear demand PRA unih Personal RePE Arhive On the sustainability of ollusion in Bertran supergames with isrete priing an nonlinear eman Paul R. Zimmerman US Feeral Trae Commission 25. January 2010 Online at http://mpra.ub.uni-muenhen.e/20249/

More information

Sensitivity Analysis of Resonant Circuits

Sensitivity Analysis of Resonant Circuits 1 Sensitivity Analysis of Resonant Ciruits Olivier Buu Abstrat We use first-orer perturbation theory to provie a loal linear relation between the iruit parameters an the poles of an RLC network. The sensitivity

More information

Lesson 23: The Defining Equation of a Line

Lesson 23: The Defining Equation of a Line Student Outomes Students know that two equations in the form of ax + y = and a x + y = graph as the same line when a = = and at least one of a or is nonzero. a Students know that the graph of a linear

More information

Econ 455 Answers - Problem Set Consider a small country (Belgium) with the following demand and supply curves for corn:

Econ 455 Answers - Problem Set Consider a small country (Belgium) with the following demand and supply curves for corn: Spring 004 Eon 455 Harvey Lapan Eon 455 Answers - Problem Set 4 1. Consier a small ountry (Belgium with the ollowing eman an supply urves or orn: Supply = 4P s ; Deman = 1000 Assume Belgium an import steel

More information

Supplementary Materials for A universal data based method for reconstructing complex networks with binary-state dynamics

Supplementary Materials for A universal data based method for reconstructing complex networks with binary-state dynamics Supplementary Materials for A universal ata ase metho for reonstruting omplex networks with inary-state ynamis Jingwen Li, Zhesi Shen, Wen-Xu Wang, Celso Greogi, an Ying-Cheng Lai 1 Computation etails

More information

Topic 7: Convergence of Random Variables

Topic 7: Convergence of Random Variables Topic 7: Convergence of Ranom Variables Course 003, 2016 Page 0 The Inference Problem So far, our starting point has been a given probability space (S, F, P). We now look at how to generate information

More information

PLANNING OF INSPECTION PROGRAM OF FATIGUE-PRONE AIRFRAME

PLANNING OF INSPECTION PROGRAM OF FATIGUE-PRONE AIRFRAME Yu. aramonov, A. Kuznetsov ANING OF INSECTION ROGRAM OF FATIGUE RONE AIRFRAME (Vol. 2008, Deember ANNING OF INSECTION ROGRAM OF FATIGUE-RONE AIRFRAME Yu. aramonov, A. Kuznetsov Aviation Institute, Riga

More information

CSIR-UGC NET/JRF JUNE - 6 PHYSICAL SCIENCES OOKLET - [A] PART. The raius of onvergene of the Taylor series epansion of the funtion (). The value of the ontour integral the anti-lokwise iretion, is 4z e

More information

Determination the Invert Level of a Stilling Basin to Control Hydraulic Jump

Determination the Invert Level of a Stilling Basin to Control Hydraulic Jump Global Avane Researh Journal of Agriultural Siene Vol. (4) pp. 074-079, June, 0 Available online http://garj.org/garjas/inex.htm Copyright 0 Global Avane Researh Journals Full Length Researh Paper Determination

More information

Transformations of Random Variables

Transformations of Random Variables Transformations of Ranom Variables September, 2009 We begin with a ranom variable an we want to start looking at the ranom variable Y = g() = g where the function g : R R. The inverse image of a set A,

More information

LECTURE 6. Introduction to Econometrics. Hypothesis testing & Goodness of fit

LECTURE 6. Introduction to Econometrics. Hypothesis testing & Goodness of fit LECTURE 6 Introduction to Econometrics Hypothesis testing & Goodness of fit October 25, 2016 1 / 23 ON TODAY S LECTURE We will explain how multiple hypotheses are tested in a regression model We will define

More information

Variable Impedance Control with an Artificial Muscle Manipulator Using Instantaneous Force and MR Brake

Variable Impedance Control with an Artificial Muscle Manipulator Using Instantaneous Force and MR Brake 1 IEEE/RSJ International Conferene on Intelligent Robots an Systems (IROS) November -7, 1. Tokyo, Japan ariable Impeane Control with an Artifiial Musle Manipulator Using Instantaneous Fore an MR Brake

More information

Linear and quadratic approximation

Linear and quadratic approximation Linear an quaratic approximation November 11, 2013 Definition: Suppose f is a function that is ifferentiable on an interval I containing the point a. The linear approximation to f at a is the linear function

More information

In this assignment you will build a simulation of the presynaptic terminal.

In this assignment you will build a simulation of the presynaptic terminal. 9.16 Problem Set #2 In this assignment you will buil a simulation of the presynapti terminal. The simulation an be broken own into three parts: simulation of the arriving ation potential (base on the Hogkin-Huxley

More information

LEARNING OBJECTIVES: UDOL.STES Discuss how mercury poisoning has affected the natural environment and human society.

LEARNING OBJECTIVES: UDOL.STES Discuss how mercury poisoning has affected the natural environment and human society. Multiple Choie 1. What is the primary reason for the ourrene of merury in the human ody? a. It is iologially inative and dormant.. It provides vital iologial funtions in trae amounts.. It is needed to

More information

5. Feynman Diagrams. Particle and Nuclear Physics. Dr. Tina Potter. Dr. Tina Potter 5. Feynman Diagrams 1

5. Feynman Diagrams. Particle and Nuclear Physics. Dr. Tina Potter. Dr. Tina Potter 5. Feynman Diagrams 1 5. Feynman Diarams Partile an Nulear Physis Dr. Tina Potter 2017 Dr. Tina Potter 5. Feynman Diarams 1 In this setion... Introution to Feynman iarams. Anatomy of Feynman iarams. Allowe verties. General

More information

Diagnostics of Linear Regression

Diagnostics of Linear Regression Diagnostics of Linear Regression Junhui Qian October 7, 14 The Objectives After estimating a model, we should always perform diagnostics on the model. In particular, we should check whether the assumptions

More information

Lectures - Week 10 Introduction to Ordinary Differential Equations (ODES) First Order Linear ODEs

Lectures - Week 10 Introduction to Ordinary Differential Equations (ODES) First Order Linear ODEs Lectures - Week 10 Introuction to Orinary Differential Equations (ODES) First Orer Linear ODEs When stuying ODEs we are consiering functions of one inepenent variable, e.g., f(x), where x is the inepenent

More information

A Modification of the Jarque-Bera Test. for Normality

A Modification of the Jarque-Bera Test. for Normality Int. J. Contemp. Math. Sciences, Vol. 8, 01, no. 17, 84-85 HIKARI Lt, www.m-hikari.com http://x.oi.org/10.1988/ijcms.01.9106 A Moification of the Jarque-Bera Test for Normality Moawa El-Fallah Ab El-Salam

More information

Covariances for Bivariate Selection Model Second-Step Estimates

Covariances for Bivariate Selection Model Second-Step Estimates Eon 240B, Fall 2001 Daniel MFadden Covarianes for Bivariate Seletion Model Seond-Step Estimates Consider the bivariate latent variable model with normal disturbanes, (1) y * = + C, w * = zα + σν, where

More information

BNAD 276 Lecture 10 Simple Linear Regression Model

BNAD 276 Lecture 10 Simple Linear Regression Model 1 / 27 BNAD 276 Lecture 10 Simple Linear Regression Model Phuong Ho May 30, 2017 2 / 27 Outline 1 Introduction 2 3 / 27 Outline 1 Introduction 2 4 / 27 Simple Linear Regression Model Managerial decisions

More information

Chapter 9. There are 7 out of 50 measurements that are greater than or equal to 5.1; therefore, the fraction of the

Chapter 9. There are 7 out of 50 measurements that are greater than or equal to 5.1; therefore, the fraction of the Pratie questions 6 1 a y i = 6 µ = = 1 i = 1 y i µ i = 1 ( ) = 95 = s n 95 555. x i f i 1 1+ + 5+ n + 5 5 + n µ = = = f 11+ n 11+ n i 7 + n = 5 + n = 6n n = a Time (minutes) 1.6.1.6.1.6.1.6 5.1 5.6 6.1

More information

The Simple Regression Model. Simple Regression Model 1

The Simple Regression Model. Simple Regression Model 1 The Simple Regression Model Simple Regression Model 1 Simple regression model: Objectives Given the model: - where y is earnings and x years of education - Or y is sales and x is spending in advertising

More information

STRUCTURE AND ELECTRICAL PROPERTIES OF ELECTRON IRRADIATED CdSe THIN FILMS

STRUCTURE AND ELECTRICAL PROPERTIES OF ELECTRON IRRADIATED CdSe THIN FILMS Journal of Optoeletronis an Avane Materials ol. 6, o. 1, Marh 24, p. 113-119 STRUCTURE AD ELECTRICAL PROPERTIES OF ELECTRO IRRADIATED C THI FILMS L. Ion a*, S. Antohe a, M. Popesu b, F. Sarlat, F. Sava

More information

19 Eigenvalues, Eigenvectors, Ordinary Differential Equations, and Control

19 Eigenvalues, Eigenvectors, Ordinary Differential Equations, and Control 19 Eigenvalues, Eigenvectors, Orinary Differential Equations, an Control This section introuces eigenvalues an eigenvectors of a matrix, an iscusses the role of the eigenvalues in etermining the behavior

More information

On Predictive Density Estimation for Location Families under Integrated Absolute Error Loss

On Predictive Density Estimation for Location Families under Integrated Absolute Error Loss On Preitive Density Estimation for Loation Families uner Integrate Absolute Error Loss Tatsuya Kubokawa a, Éri Marhanb, William E. Strawerman a Department of Eonomis, University of Tokyo, 7-3- Hongo, Bunkyo-ku,

More information

Methods of evaluating tests

Methods of evaluating tests Methods of evaluating tests Let X,, 1 Xn be i.i.d. Bernoulli( p ). Then 5 j= 1 j ( 5, ) T = X Binomial p. We test 1 H : p vs. 1 1 H : p>. We saw that a LRT is 1 if t k* φ ( x ) =. otherwise (t is the observed

More information

Survey Sampling. 1 Design-based Inference. Kosuke Imai Department of Politics, Princeton University. February 19, 2013

Survey Sampling. 1 Design-based Inference. Kosuke Imai Department of Politics, Princeton University. February 19, 2013 Survey Sampling Kosuke Imai Department of Politics, Princeton University February 19, 2013 Survey sampling is one of the most commonly use ata collection methos for social scientists. We begin by escribing

More information

GEOMETRIC AND STOCHASTIC ERROR MINIMISATION IN MOTION TRACKING. Karteek Alahari, Sujit Kuthirummal, C. V. Jawahar, P. J. Narayanan

GEOMETRIC AND STOCHASTIC ERROR MINIMISATION IN MOTION TRACKING. Karteek Alahari, Sujit Kuthirummal, C. V. Jawahar, P. J. Narayanan GEOMETRIC AND STOCHASTIC ERROR MINIMISATION IN MOTION TRACKING Karteek Alahari, Sujit Kuthirummal, C. V. Jawahar, P. J. Narayanan Centre for Visual Information Tehnology International Institute of Information

More information

R13 SET - 1 PART-A. is analytic. c) Write the test statistic for the differences of means of two large samples. about z =1.

R13 SET - 1 PART-A. is analytic. c) Write the test statistic for the differences of means of two large samples. about z =1. R3 SET - II B. Teh I Semester Regular Examinations, Jan - 5 COMPLEX VARIABLES AND STATISTICAL METHODS (Eletrial and Eletronis Engineering) Time: 3 hours Max. Marks: 7 Note:. Question Paper onsists of two

More information

Characterisation of Balcony Spill Plume Entrainment using Physical Scale Modelling

Characterisation of Balcony Spill Plume Entrainment using Physical Scale Modelling Charaterisation of Balony Spill Plume Entrainment using Physial Sale Modelling ROGER HARRISON and MICHAEL SPEARPOINT Department of Civil and Natural Resoures Engineering University of Canterury Christhurh,

More information

The numbers inside a matrix are called the elements or entries of the matrix.

The numbers inside a matrix are called the elements or entries of the matrix. Chapter Review of Matries. Definitions A matrix is a retangular array of numers of the form a a a 3 a n a a a 3 a n a 3 a 3 a 33 a 3n..... a m a m a m3 a mn We usually use apital letters (for example,

More information

Low-Complexity Velocity Estimation in High-Speed Optical Doppler Tomography Systems

Low-Complexity Velocity Estimation in High-Speed Optical Doppler Tomography Systems Low-Complexity Veloity Estimation in High-Spee Optial Doppler Tomography Systems Milos Milosevi, Wae Shwartzkopf, Thomas E. Milner, Brian L. Evans, an Alan C. Bovik Department of Eletrial an Computer Engineering

More information

Implementing the Law of Sines to solve SAS triangles

Implementing the Law of Sines to solve SAS triangles Implementing the Law of Sines to solve SAS triangles June 8, 009 Konstantine Zelator Dept. of Math an Computer Siene Rhoe Islan College 600 Mount Pleasant Avenue Proviene, RI 0908 U.S.A. e-mail : kzelator@ri.eu

More information

ECE 422 Power System Operations & Planning 7 Transient Stability

ECE 422 Power System Operations & Planning 7 Transient Stability ECE 4 Power System Operations & Planning 7 Transient Stability Spring 5 Instructor: Kai Sun References Saaat s Chapter.5 ~. EPRI Tutorial s Chapter 7 Kunur s Chapter 3 Transient Stability The ability of

More information

The Effects of Trade Liberalization in Textiles and Clothing on the Greek Market for Cotton Yarn: A Multi-Market Analysis

The Effects of Trade Liberalization in Textiles and Clothing on the Greek Market for Cotton Yarn: A Multi-Market Analysis The Effets of Trae Liberalization in Textiles an Clothing on the Greek Market for Cotton Yarn: A Multi-Market Analsis Daakas Dimitrios Katraniis D. Stelios Contribute paper prepare for presentation at

More information

Review Topic 4: Cubic polynomials

Review Topic 4: Cubic polynomials Review Topi : ui polynomials Short answer Fatorise Px ( ) = x + 5x + x- 9 into linear fators. The polynomial Px ( ) = x - ax + x- leaves a remainer of when it is ivie y ( x - ) an a remainer of - when

More information

Biplots. Some ecological data to illustrate regression biplots

Biplots. Some ecological data to illustrate regression biplots Biplot The biplot eten the iea of a imple atterplot of two variable to the ae of man variable, with the obetive of viualizing a maimum amount of information in the ata a poible. We firt look at how a regreion

More information

The new concepts of measurement error s regularities and effect characteristics

The new concepts of measurement error s regularities and effect characteristics The new concepts of measurement error s regularities an effect characteristics Ye Xiaoming[1,] Liu Haibo [3,,] Ling Mo[3] Xiao Xuebin [5] [1] School of Geoesy an Geomatics, Wuhan University, Wuhan, Hubei,

More information

Wave Propagation through Random Media

Wave Propagation through Random Media Chapter 3. Wave Propagation through Random Media 3. Charateristis of Wave Behavior Sound propagation through random media is the entral part of this investigation. This hapter presents a frame of referene

More information

Implicit Differentiation

Implicit Differentiation Implicit Differentiation Implicit Differentiation Using the Chain Rule In the previous section we focuse on the erivatives of composites an saw that THEOREM 20 (Chain Rule) Suppose that u = g(x) is ifferentiable

More information

The Law of SINES. For any triangle (right, acute or obtuse), you may use the following formula to solve for missing sides or angles:

The Law of SINES. For any triangle (right, acute or obtuse), you may use the following formula to solve for missing sides or angles: The Law of SINES The Law of SINES For any triangle (right, aute or otuse), you may use the following formula to solve for missing sides or angles: a sin = sin = sin Use Law of SINES when... you have 3

More information

PN Code Tracking Loops

PN Code Tracking Loops Wireless Information Transmission System Lab. PN Coe Traking Loops Institute of Communiations Engineering National Sun Yat-sen University Introution Coe synhronization is generally arrie out in two steps

More information

Chapter 2: One-dimensional Steady State Conduction

Chapter 2: One-dimensional Steady State Conduction 1 Chapter : One-imensional Steay State Conution.1 Eamples of One-imensional Conution Eample.1: Plate with Energy Generation an Variable Conutivity Sine k is variable it must remain insie the ifferentiation

More information

Math 151 Introduction to Eigenvectors

Math 151 Introduction to Eigenvectors Math 151 Introdution to Eigenvetors The motivating example we used to desrie matrixes was landsape hange and vegetation suession. We hose the simple example of Bare Soil (B), eing replaed y Grasses (G)

More information

MULTIPLE-INPUT MULTIPLE-OUTPUT (MIMO) is. Spatial Degrees of Freedom of Large Distributed MIMO Systems and Wireless Ad Hoc Networks

MULTIPLE-INPUT MULTIPLE-OUTPUT (MIMO) is. Spatial Degrees of Freedom of Large Distributed MIMO Systems and Wireless Ad Hoc Networks 22 IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS, VOL. 3, NO. 2, FEBRUARY 23 Spatial Degrees of Freeom of Large Distribute MIMO Systems an Wireless A Ho Networks Ayfer Özgür, Member, IEEE, OlivierLévêque,

More information

The Simple Regression Model. Part II. The Simple Regression Model

The Simple Regression Model. Part II. The Simple Regression Model Part II The Simple Regression Model As of Sep 22, 2015 Definition 1 The Simple Regression Model Definition Estimation of the model, OLS OLS Statistics Algebraic properties Goodness-of-Fit, the R-square

More information

Natural Convection Experiment Measurements from a Vertical Surface

Natural Convection Experiment Measurements from a Vertical Surface OBJECTIVE Natural Convetion Experiment Measurements from a Vertial Surfae 1. To demonstrate te basi priniples of natural onvetion eat transfer inluding determination of te onvetive eat transfer oeffiient.

More information

Acoustic Waves in a Duct

Acoustic Waves in a Duct Aousti Waves in a Dut 1 One-Dimensional Waves The one-dimensional wave approximation is valid when the wavelength λ is muh larger than the diameter of the dut D, λ D. The aousti pressure disturbane p is

More information

Millennium Relativity Acceleration Composition. The Relativistic Relationship between Acceleration and Uniform Motion

Millennium Relativity Acceleration Composition. The Relativistic Relationship between Acceleration and Uniform Motion Millennium Relativity Aeleration Composition he Relativisti Relationship between Aeleration and niform Motion Copyright 003 Joseph A. Rybzyk Abstrat he relativisti priniples developed throughout the six

More information

UPPER-TRUNCATED POWER LAW DISTRIBUTIONS

UPPER-TRUNCATED POWER LAW DISTRIBUTIONS Fratals, Vol. 9, No. (00) 09 World Sientifi Publishing Company UPPER-TRUNCATED POWER LAW DISTRIBUTIONS STEPHEN M. BURROUGHS and SARAH F. TEBBENS College of Marine Siene, University of South Florida, St.

More information

finalsol.nb In my frame, I am at rest. So the time it takes for the missile to reach me is just 8µ106 km

finalsol.nb In my frame, I am at rest. So the time it takes for the missile to reach me is just 8µ106 km finalsol.n Physis D, Winter 005 Final Exam Solutions Top gun a v enemy = 0.4 in my enemy's frame, v' missile = 0.7 0.4 + 0.7 so, in my frame, v missile = Å º 0.859 +H0.4 H0.7 (it must e less than!) In

More information

He s Semi-Inverse Method and Ansatz Approach to look for Topological and Non-Topological Solutions Generalized Nonlinear Schrödinger Equation

He s Semi-Inverse Method and Ansatz Approach to look for Topological and Non-Topological Solutions Generalized Nonlinear Schrödinger Equation Quant. Phys. Lett. 3, No. 2, 23-27 2014) 23 Quantum Physis Letters An International Journal http://x.oi.org/10.12785/qpl/030202 He s Semi-Inverse Metho an Ansatz Approah to look for Topologial an Non-Topologial

More information

Conveyor trajectory discharge angles

Conveyor trajectory discharge angles University of Wollongong Researh Online Faulty of Engineering - Papers (Arhive) Faulty of Engineering and Information Sienes 007 Conveyor trajetory disharge angles David B. Hastie University of Wollongong,

More information

A population of 50 flies is expected to double every week, leading to a function of the x

A population of 50 flies is expected to double every week, leading to a function of the x 4 Setion 4.3 Logarithmi Funtions population of 50 flies is epeted to doule every week, leading to a funtion of the form f ( ) 50(), where represents the numer of weeks that have passed. When will this

More information

ECON The Simple Regression Model

ECON The Simple Regression Model ECON 351 - The Simple Regression Model Maggie Jones 1 / 41 The Simple Regression Model Our starting point will be the simple regression model where we look at the relationship between two variables In

More information

E R K HIGHER SECONDARY SCHOOL ERUMIYAMPATTI PART III- MATHEMATICS (English Version) Time Allowed: 3 hours Maximum Marks: 200

E R K HIGHER SECONDARY SCHOOL ERUMIYAMPATTI PART III- MATHEMATICS (English Version) Time Allowed: 3 hours Maximum Marks: 200 www.paasalai.net E R K HIGHER SECONDARY SCHOOL ERUMIYAMPATTI PART III- MATHEMATICS (English Version) Time Allowe: hours Maimum Marks: SECTION- A NOTE: Choose the most suitable answer from the given four

More information

Simultaneous and Sequential Auctions of Oligopoly Licenses

Simultaneous and Sequential Auctions of Oligopoly Licenses Simultaneous an Sequential Autions of Oligopoly Lienses Georgios Katsenos Institut für Mikroökonomik, Leibniz Universität Hannover September 1, 2007 Abstrat This paper ompares two proeures for alloating

More information

Zero-Free Region for ζ(s) and PNT

Zero-Free Region for ζ(s) and PNT Contents Zero-Free Region for ζs an PN att Rosenzweig Chebyshev heory ellin ransforms an Perron s Formula Zero-Free Region of Zeta Funtion 6. Jensen s Inequality..........................................

More information

On the Reverse Problem of Fechnerian Scaling

On the Reverse Problem of Fechnerian Scaling On the Reverse Prolem of Fehnerian Saling Ehtiar N. Dzhafarov Astrat Fehnerian Saling imposes metris on two sets of stimuli relate to eah other y a isrimination funtion sujet to Regular Minimality. The

More information

Introduction to the Vlasov-Poisson system

Introduction to the Vlasov-Poisson system Introuction to the Vlasov-Poisson system Simone Calogero 1 The Vlasov equation Consier a particle with mass m > 0. Let x(t) R 3 enote the position of the particle at time t R an v(t) = ẋ(t) = x(t)/t its

More information

Designing Against Size Effect on Shear Strength of Reinforced Concrete Beams Without Stirrups

Designing Against Size Effect on Shear Strength of Reinforced Concrete Beams Without Stirrups Designing Against Size Effet on Shear Strength of Reinfore Conrete Beams Without Stirrups By Zeněk P. Bažant an Qiang Yu Abstrat: The shear failure of reinfore onrete beams is a very omplex frature phenomenon

More information

Use of prior information in the form of interval constraints for the improved estimation of linear regression models with some missing responses

Use of prior information in the form of interval constraints for the improved estimation of linear regression models with some missing responses Journal of Statistial Planning and Inferene 136 (2006) 2430 2445 www.elsevier.om/loate/jspi Use of prior information in the form of interval onstraints for the improved estimation of linear regression

More information

A simplified shear strength evaluation model for reinforced concrete corbels

A simplified shear strength evaluation model for reinforced concrete corbels Computational Metos an Experimental Measurements XIII 537 A simplifie sear strengt ealuation moel for reinfore onrete orbels J. K. Lu 1, S. Y. Kuo 2, J. Y. Lin 1 & S. H. Hsu 3 1 Department of Ciil Engineering,

More information

Analysis of Leakage Paths Induced by Longitudinal Differential Settlement of the Shield-driven Tunneling

Analysis of Leakage Paths Induced by Longitudinal Differential Settlement of the Shield-driven Tunneling 2016 rd International Conferene on Engineering Tehnology and Appliation (ICETA 2016) ISBN: 978-1-60595-8-0 Analysis of Leakage Paths Indued by Longitudinal Differential Settlement of the Shield-driven

More information

Linear Capacity Scaling in Wireless Networks: Beyond Physical Limits?

Linear Capacity Scaling in Wireless Networks: Beyond Physical Limits? Linear Capaity Saling in Wireless Networks: Beyon Physial Limits? Ayfer Özgür, Olivier Lévêque EPFL, Switzerlan {ayfer.ozgur, olivier.leveque}@epfl.h Davi Tse University of California at Berkeley tse@ees.berkeley.eu

More information

Supplementary information for: All-optical signal processing using dynamic Brillouin gratings

Supplementary information for: All-optical signal processing using dynamic Brillouin gratings Supplementary information for: All-optial signal proessing using dynami Brillouin gratings Maro Santagiustina, Sanghoon Chin 2, Niolay Primerov 2, Leonora Ursini, Lu Thévena 2 Department of Information

More information

Stochastic Analysis of a Compound Redundant System Involving Human Failure

Stochastic Analysis of a Compound Redundant System Involving Human Failure Journal of Matheatis an Statistis (3): 47-43, 6 ISSN 549-3644 6 Siene Publiations Stohasti nalysis of a Copoun Reunant Syste Involving uan Failure Ritu Gupta, S.. Mittal an 3 C. M. Batra,3 Departent of

More information

23.1 Tuning controllers, in the large view Quoting from Section 16.7:

23.1 Tuning controllers, in the large view Quoting from Section 16.7: Lesson 23. Tuning a real ontroller - modeling, proess identifiation, fine tuning 23.0 Context We have learned to view proesses as dynami systems, taking are to identify their input, intermediate, and output

More information

ECON 450 Development Economics

ECON 450 Development Economics ECON 450 Development Economics Statistics Background University of Illinois at Urbana-Champaign Summer 2017 Outline 1 Introduction 2 3 4 5 Introduction Regression analysis is one of the most important

More information

GT ON-LINE PERFORMANCE MONITORING AND ENGINE DIAGNOSTIC USING ROBUST KALMAN FILTERING TECHNIQUES

GT ON-LINE PERFORMANCE MONITORING AND ENGINE DIAGNOSTIC USING ROBUST KALMAN FILTERING TECHNIQUES Proeedings of GT23 23 ASME TURBO EXPO June 6-9, 23, Atlanta, Georgia USA GT23-38379 ON-LINE PERFORMANCE MONITORING AND ENGINE DIAGNOSTIC USING ROBUST KALMAN FILTERING TECHNIQUES Pierre Dewallef Turomahinery

More information

Development of Fuzzy Extreme Value Theory. Populations

Development of Fuzzy Extreme Value Theory. Populations Applied Mathematial Sienes, Vol. 6, 0, no. 7, 58 5834 Development of Fuzzy Extreme Value Theory Control Charts Using α -uts for Sewed Populations Rungsarit Intaramo Department of Mathematis, Faulty of

More information

Mathematics II. Tutorial 5 Basic mathematical modelling. Groups: B03 & B08. Ngo Quoc Anh Department of Mathematics National University of Singapore

Mathematics II. Tutorial 5 Basic mathematical modelling. Groups: B03 & B08. Ngo Quoc Anh Department of Mathematics National University of Singapore Mathematis II Tutorial 5 Basi mathematial modelling Groups: B03 & B08 February 29, 2012 Mathematis II Ngo Quo Anh Ngo Quo Anh Department of Mathematis National University of Singapore 1/13 : The ost of

More information

The Role of Models in Model-Assisted and Model- Dependent Estimation for Domains and Small Areas

The Role of Models in Model-Assisted and Model- Dependent Estimation for Domains and Small Areas The Role of Moels in Moel-Assiste an Moel- Depenent Estimation for Domains an Small Areas Risto Lehtonen University of Helsini Mio Myrsylä University of Pennsylvania Carl-Eri Särnal University of Montreal

More information

The influence of upstream weir slope on live-bed scour at submerged weir

The influence of upstream weir slope on live-bed scour at submerged weir The influene of upstream weir slope on live-be sour at submerge weir L. Wang, B.W. Melville & H. Frierih Department of Civil an Environmental Engineering, University of Auklan, New Zealan ABSTRACT: Shape

More information

Normative and descriptive approaches to multiattribute decision making

Normative and descriptive approaches to multiattribute decision making De. 009, Volume 8, No. (Serial No.78) China-USA Business Review, ISSN 57-54, USA Normative and desriptive approahes to multiattribute deision making Milan Terek (Department of Statistis, University of

More information

Analysis of Variance (ANOVA) one way

Analysis of Variance (ANOVA) one way Analysis of Variane (ANOVA) one way ANOVA General ANOVA Setting "Slide 43-45) Investigator ontrols one or more fators of interest Eah fator ontains two or more levels Levels an be numerial or ategorial

More information

Controller Design Based on Transient Response Criteria. Chapter 12 1

Controller Design Based on Transient Response Criteria. Chapter 12 1 Controller Design Based on Transient Response Criteria Chapter 12 1 Desirable Controller Features 0. Stable 1. Quik responding 2. Adequate disturbane rejetion 3. Insensitive to model, measurement errors

More information

Logarithmic spurious regressions

Logarithmic spurious regressions Logarithmic spurious regressions Robert M. e Jong Michigan State University February 5, 22 Abstract Spurious regressions, i.e. regressions in which an integrate process is regresse on another integrate

More information

Econometrics Multiple Regression Analysis: Heteroskedasticity

Econometrics Multiple Regression Analysis: Heteroskedasticity Econometrics Multiple Regression Analysis: João Valle e Azevedo Faculdade de Economia Universidade Nova de Lisboa Spring Semester João Valle e Azevedo (FEUNL) Econometrics Lisbon, April 2011 1 / 19 Properties

More information

On the Performance of Interference Cancellation in D2D-enabled Cellular Networks

On the Performance of Interference Cancellation in D2D-enabled Cellular Networks On the erformane of Interferene Canellation in DD-enable Cellular Networks Chuan Ma, Weijie Wu, Ying Cui, Xinbing Wang Abstrat Devie-to-evie DD ommuniation unerlaying ellular networks is a promising tehnology

More information

Taste for variety and optimum product diversity in an open economy

Taste for variety and optimum product diversity in an open economy Taste for variety and optimum produt diversity in an open eonomy Javier Coto-Martínez City University Paul Levine University of Surrey Otober 0, 005 María D.C. Garía-Alonso University of Kent Abstrat We

More information

Some Examples. Uniform motion. Poisson processes on the real line

Some Examples. Uniform motion. Poisson processes on the real line Some Examples Our immeiate goal is to see some examples of Lévy processes, an/or infinitely-ivisible laws on. Uniform motion Choose an fix a nonranom an efine X := for all (1) Then, {X } is a [nonranom]

More information

Supplementary Materials

Supplementary Materials Supplementary Materials Neural population partitioning and a onurrent brain-mahine interfae for sequential motor funtion Maryam M. Shanehi, Rollin C. Hu, Marissa Powers, Gregory W. Wornell, Emery N. Brown

More information

Industrial Management & Data Systems

Industrial Management & Data Systems Inustrial Management & Data Systems Supply Chain Contrating Coorination for Fresh Prouts with Fresh-Keeping Effort Inustrial Management & Data Systems Journal: Inustrial Management & Data Systems Manusript

More information

Performing Two-Way Analysis of Variance Under Variance Heterogeneity

Performing Two-Way Analysis of Variance Under Variance Heterogeneity Journal of Modern Applied Statistial Methods Volume Issue Artile 3 5--003 Performing Two-Way Analysis of Variane Under Variane Heterogeneity Sott J. Rihter University of North Carolina at Greensboro, sjriht@ung.edu

More information

Journal of Theoretical Biology

Journal of Theoretical Biology Journal of Theoretial Biology 283 (2011) 145 151 Contents lists available at SieneDiret Journal of Theoretial Biology journal homepage: www.elsevier.om/loate/yjtbi Colletive motion from loal attration

More information

Economics 113. Simple Regression Assumptions. Simple Regression Derivation. Changing Units of Measurement. Nonlinear effects

Economics 113. Simple Regression Assumptions. Simple Regression Derivation. Changing Units of Measurement. Nonlinear effects Economics 113 Simple Regression Models Simple Regression Assumptions Simple Regression Derivation Changing Units of Measurement Nonlinear effects OLS and unbiased estimates Variance of the OLS estimates

More information

arxiv: v1 [cs.ds] 31 May 2017

arxiv: v1 [cs.ds] 31 May 2017 Succinct Partial Sums an Fenwick Trees Philip Bille, Aners Roy Christiansen, Nicola Prezza, an Freerik Rye Skjoljensen arxiv:1705.10987v1 [cs.ds] 31 May 2017 Technical University of Denmark, DTU Compute,

More information

Fast Evaluation of Canonical Oscillatory Integrals

Fast Evaluation of Canonical Oscillatory Integrals Appl. Math. Inf. Si. 6, No., 45-51 (01) 45 Applie Mathematis & Information Sienes An International Journal 01 NSP Natural Sienes Publishing Cor. Fast Evaluation of Canonial Osillatory Integrals Ying Liu

More information

The optimization of kinematical response of gear transmission

The optimization of kinematical response of gear transmission Proeeings of the 7 WSEAS Int. Conferene on Ciruits, Systems, Signal an Teleommuniations, Gol Coast, Australia, January 7-9, 7 The optimization of inematial response of gear transmission VINCENZO NIOLA

More information

Damage Evaluation of Core Concrete by AE

Damage Evaluation of Core Concrete by AE www.rl.issres.net Vol. 2 (3) Sep. 2011 Damage valuation of Core Conrete by A Tetsuya Suzuki 1 and Masayasu Ohtsu 2 1 Faulty of Agriulture Niigata University, JAPAN 2 Graduate Shool of Siene and Tehnology

More information

Journal of Mathematical Analysis and Applications

Journal of Mathematical Analysis and Applications J. Math. Anal. Appl. 371 (010) 759 763 Contents lists available at SieneDiret Journal of Mathematial Analysis an Appliations www.elsevier.om/loate/jmaa Singular Sturm omparison theorems Dov Aharonov, Uri

More information

Zero-Knowledge Protocols

Zero-Knowledge Protocols he People Zero-Knowlege Protools 2 he wars Prover (Peggy) Claim I Verifier (Vi) S Seret Deision 2 {true, false} zero-knowlege protool allows Peggy to Convine Vi that her laim is true an that she knows

More information

Chapter Review of of Random Processes

Chapter Review of of Random Processes Chapter.. Review of of Random Proesses Random Variables and Error Funtions Conepts of Random Proesses 3 Wide-sense Stationary Proesses and Transmission over LTI 4 White Gaussian Noise Proesses @G.Gong

More information

The Complete Energy Translations in the Detailed. Decay Process of Baryonic Sub-Atomic Particles. P.G.Bass.

The Complete Energy Translations in the Detailed. Decay Process of Baryonic Sub-Atomic Particles. P.G.Bass. The Complete Energy Translations in the Detailed Deay Proess of Baryoni Su-Atomi Partiles. [4] P.G.Bass. PGBass P12 Version 1..3 www.relativitydomains.om August 218 Astrat. This is the final paper on the

More information

COMPUTER METHODS FOR THE DETERMINATION OF THE CRITICAL PARAMETERS OF POLLUTED INSULATORS

COMPUTER METHODS FOR THE DETERMINATION OF THE CRITICAL PARAMETERS OF POLLUTED INSULATORS COMPUTER METHODS FOR THE DETERMINATION OF THE CRITICAL PARAMETERS OF POLLUTED INSULATORS I. F. GONOS S. A. SUFLIS F. V. TOPALIS I.A. STATHOPULOS NATIONAL TECHNICAL UNIVERSITY OF ATHENS DEPARTMENT OF ELECTRICAL

More information

APPROXIMATE SOLUTION FOR TRANSIENT HEAT TRANSFER IN STATIC TURBULENT HE II. B. Baudouy. CEA/Saclay, DSM/DAPNIA/STCM Gif-sur-Yvette Cedex, France

APPROXIMATE SOLUTION FOR TRANSIENT HEAT TRANSFER IN STATIC TURBULENT HE II. B. Baudouy. CEA/Saclay, DSM/DAPNIA/STCM Gif-sur-Yvette Cedex, France APPROXIMAE SOLUION FOR RANSIEN HEA RANSFER IN SAIC URBULEN HE II B. Bauouy CEA/Saclay, DSM/DAPNIA/SCM 91191 Gif-sur-Yvette Ceex, France ABSRAC Analytical solution in one imension of the heat iffusion equation

More information

Understanding Line-Edge Roughness Problems with Metrology. Chris Mack

Understanding Line-Edge Roughness Problems with Metrology. Chris Mack Understanding ine-edge Roughness Problems with Metrology Chris Mak www.lithoguru.om Outline Measuring line-edge roughness (ER) Any attempt to understand ER begins with data Soures of bias in ER measurement

More information