Question

A multiple regression analysis, one of the independent variables has a coefficient with a p-value of 0.78, which indicatesi. a. The variable explains 78% of the variation in the dependent variable. b. The standard error of the variable is very small. c. The variable is not a useful predictor of the dependent variable. d. The variable is extremely useful for predicting the dependent variable.

Answer 1

c. The variable is not a useful predictor of the dependent variable

Explanation:

In multiple regression, a small p-value (usually < 0.05) is desired. A low p-value indicates that the coefficient is statistically significant and that the variable is a meaningful addition to your model because changes in the predictor’s value are related to changes in the dependent variable. If the p-value is large, then it indicates that the variable is not useful as a predictor for the dependent variable since it is not statistically significant.