In regression analysis,the residuals represent the:
A)difference between the actual y values and their predicted values.
B)difference between the actual x values and their predicted values.
C)square root of the slope of the regression line.
D)change in y per unit change in x.

Question

Quizplus · Accepted Answer

Residuals are defined as the difference between the observed (actual) y values and their predicted values. They measure the deviation of the data points from the regression line and are used to assess the accuracy of the fitted model. Option B is incorrect because x values are not predicted in regression analysis. Option C is incorrect because the square root of the slope of the regression line has no special significance in regression analysis. Option D is incorrect because the change in y per unit change in x is represented by the slope of the regression line, not by the residuals.

In Regression Analysis,the Residuals Represent The