Question

Question 6 pts

The multiplication of two variables is used as a predictor if the two variables jointly affect the response.

True

False

Question 7 pts

Even if the P-value of the F test in a multiple regression model is nearly zero, it is possible that the R2 of the model is much less than one.

True

False

Answer 1

Answer 6. True

This joint effect of two variables on response is captured as an interaction effect ( as product of both variables)

Answer 7. False

The Null Hypothesis for Multiple Regression is : The Model does not adequately fits the data and the Alternative Hypothesis is : The Model adequately fits the data.

Now a p-value of zero, approx will lead to the rejection of Null Hypothesis and will lead us to conclude that The Model adequately fits the data which makes the value of R2 closer to 1. ( Since, R2 is coefficient of Determination, giving percent of variation in dependent variable being explained by the model)