Regardless of the value of x,the standard deviation of the distribution of y values about the regression line is the same.This assumption of equal standard deviations about the regression line is called:
A) random error.
B) heteroscedasticity.
C) homoscedasticity.
D) pooled variances.
E) residual analysis.

Question

Quizplus · Accepted Answer

Homoscedasticity is the assumption that the variance of the errors or residuals is constant across all values of the independent variable (in this case, x). This means that the spread of the y values around the regression line is the same across all values of x. If the standard deviation of y values is not constant across different values of x, then it is said to be heteroscedastic. Random error refers to the variability in the data that is not accounted for by the regression model. Pooled variances refer to the combining of variances from different samples into a single estimate. Residual analysis is a method of checking the assumptions of a regression model by examining the distribution and pattern of the residuals.

Regardless of the Value of X,the Standard Deviation of the Distribution