Use the following information for questions:
The simple linear regression equation can be written as $\hat{y}$ = $b_{0}$ + $ b_{1}x$
-In the simple linear regression equation,$ b_{1}$ represents the slope of the regression line. Which of the following gives the best interpretation of the slope?
A) It is an estimate of the average value of y at any specified value of x.
B) It indicates how much of a change there is for the predicted or average value of y when x increases by one unit.
C) It is the value of y, when x = 0.
D) It is the value of x, when y = 0.

Question

Use the following information for questions:
 The simple linear regression equation can be written as $\hat{y}$ = $b_{0}$ + $ b_{1}x$
-In the simple linear regression equation,$ b_{1}$ represents the slope of the regression line. Which of the following gives the best interpretation of the slope?
A) It is an estimate of the average value of y at any specified value of x.
B) It indicates how much of a change there is for the predicted or average value of y when x increases by one unit.
C) It is the value of y, when x = 0.
D) It is the value of x, when y = 0.

Quizplus · Accepted Answer

The slope $b_{1}$ in a simple linear regression equation indicates the change in the predicted value of $y$ (the dependent variable) for a one-unit increase in $x$ (the independent variable).

Use the Following Information for Questions: the Simple Linear y^\hat{y}y^​

Use the Following Information for Questions:
the Simple Linear $\hat{y}$