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