If all the values of an independent variable x are equal, then regressing a dependent variable y on x will result in a coefficient of determination of zero.

Question

Quizplus · Accepted Answer

If all the values of x are equal, it means there is no variation or spread in x, and hence the regression line will be a horizontal line passing through the mean of y. This would result in a coefficient of determination of 0 as there is no relationship between x and y.

If All the Values of an Independent Variable X Are