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1 Bivariate Data DEFINITION: In statistics, data sets using two variables. Scatter Plot DEFINITION: a bivariate graph with points plotted to show a possible relationship between the two sets of data. Positive Correlation DEFINITION: two data sets have a positive correlation if both sets of data values increase. Negative Correlation DEFINITION: two data sets have a negative correlation if one set of data values increase as the other set decreases. No Correlation DEFINITION: two data sets have no correlation if there is no relationship between the two sets of values. Strong Correlation DEFINITION: two data sets that are very strongly related to one another; the correlation coefficient is close to 1 or -1.

2 Weak Correlation DEFINITION: two data sets that are not strongly related to one another; the correlation coefficient is close to 0. Correlation Coefficient DEFINITION: The statistical measure of how strongly related two sets of data are; always a value between -1 and +1. WORD Residual DEFINITION: the signed vertical distance between a data point and the line of best fit. Piecewise Function DEFINITION: A function made up of multiple, different pieces of functions, expressed using domain constraints. Exponential Function DEFINITION: a function of the form ( ), where and are real numbers,,, and. Exponential Growth DEFINITION: an exponential function of the form ( ) in which. is the initial value and is the growth factor.

3 Exponential Decay DEFINITION: an exponential function of the form ( ) in which. is the initial value and is the decay factor. Average Rate of Change DEFINITION: The straight-line slope between any two points of a function. Sequence DEFINITION: a list of terms (usually numbers) in a certain order that form a patter. Arithmetic Sequence DEFINITION: a sequence whose successive terms have a common difference (like a linear function). Geometric Sequence DEFINITION: a sequence in which the ratio of successive terms is a constant, called the common ratio, where. Explicit Sequence DEFINITION: A way to write a sequence, similar to a function, in which the nth term can always be represented and calculated.

4 Recursive Sequence DEFINITION: A way to write a sequence in which all terms depend on the terms preceding them, the nth term can only be calculated if the n-1 term is known. Asymptote DEFINITION: a line that a graph gets closer to as the value of a variable becomes extremely large or extremely small. System of Linear Equations DEFINITION: a set of multiple linear equations that all relate to the same material and share the same variables. Elimination Method DEFINITION: a method of solving systems of equations in which one variable is eliminated by adding or subtracting two equations of the system. Substitution Method DEFINITION: a method used to solve systems of equations for one variable and substituting the resulting expression into the other equation(s). Solution to a System of Equations DEFINITION: any ordered pair(s) that satisfies all the equations in a system.

5 Function Notation DEFINITION: if is the independent variable and is the dependent variable, then the function notation for is ( ), which reads. Solution to a System of Inequalities DEFINITION: any ordered pairs that satisfy all the inequalities in a system. Solution Set DEFINITION: the set of values that make a statement true. System of Linear Inequalities DEFINITION: a system of functions that only include linear inequalities.

AQR Unit 4: Using Recursion in Models and Decision Making Sequence Notes. Name: Date: Sequences

AQR Unit 4: Using Recursion in Models and Decision Making Sequence Notes. Name: Date: Sequences Name: Date: Sequences A number sequence is a set of numbers, usually separated by commas, arranged in an order. The first term is referred to as t 1, the second term as t 2, the third term as t 3 and so