The equation of the regression line is Y= a + bX. Match the following symbols to

Question

The equation of the regression line is Y= a + bX. Match the following symbols to the description.

The symbols are b, R, R2, Y, and X.

1. Denotes the variable plotted on the horizontal axis and called the explanatory variable. _____

2. Denotes the variable plotted on the vertical axis and is called the responsible variable. ______

3. the regression coefficient = the change in Y for a change in X of +1. ___

4. The amount of variability of Y explained by X. ___

5. The strength of the linear relationship between X and Y. ____

Explanation / Answer

Given the equation of the regression line is,

Y = a +bX

1. Denotes the variable plotted on the horizontal axis and called the explanatory variable. Ans:- X

2. Denotes the variable plotted on the vertical axis and is called the responsible variable. Ans:- Y

3. the regression coefficient = the change in Y for a change in X of +1. Ans:- b

4. The amount of variability of Y explained by X. Ans:- R2

5. The strength of the linear relationship between X and Y.

Ans:- R

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