Question

Suppose that a researcher wants to predict the weight of female college athletes based on their height, percent body fat, and age. A sample is taken and the following regression table is produced. Based on the F-test alone, what is the correct conclusion about the regression slopes?

Question 23 options:

	1) All the regression slopes do not equal zero.
	2) All the regression slopes are equal to zero.
	3) At least one of the regression slopes does not equal zero.
	4) We do not have the dataset, therefore, we are unable to make a conclusion about the slopes.
	5) We did not find significant evidence to conclude that at least one slope differs from zero.

Answer 1

When we test the significance of multiple regression then we construct set up a hypothesis such that

H₀: All the regression slopes equal to zero.

Vs

H₁: At least one of the slope does not equal to zero.

For this situation we construct Anova table and we perform F test to make the conclusion.

If p-value corresponding to the F statistic is less than the given level of significance then we can reject null hypothesis and we accept the alternative hypothesis.

But in the given problem we don't have any data to find the test statistic F value. So we can not conclude anything.

Preferably we select option 4).