The following regression equation was found for a sample of college students. predicted happiness = 32.8 GPA + 17.3 × pocket money + 7.4
Which of the following can be concluded?
A) The correlation between pocket money and happiness is larger than the correlation between GPA and happiness.
B) GPA is less useful than pocket money in predicting happiness.
C) For students with no pocket money, a one-unit increase in GPA will increase the value of predicted happiness by 32.8 units.
D) The r-squared value for GPA must be greater than the r-squared value for pocket money.

Question

Quizplus · Accepted Answer

The coefficients in a regression equation represent the change in the dependent variable (predicted happiness) for a one-unit change in the independent variable, holding other variables constant. Therefore, a one-unit increase in GPA increases predicted happiness by 32.8 units, assuming no pocket money. Choices A, B, and D cannot be concluded without additional information such as the actual correlation values or r-squared values.

The Following Regression Equation Was Found for a Sample of College