Question: I have two independent variables, 'exercise' and 'sleep', predicting a dependent variable 'depressive symptoms'. I run two simple linear regression models, and the R-square values

I have two independent variables, 'exercise' and 'sleep', predicting a dependent variable 'depressive symptoms'. I run two simple linear regression models, and the R-square values for each are below. Exercise predicting depressive symptoms R-sq = 20% Sleep predicting depressive symptoms R-sq = 30%. I then run a multiple regression model with both IVs, and the R-squared from this model is 40%. This tells me:

a.I cannot tell whether exercise and sleep are correlated from this information

b.Exercise and sleep are not correlated (statistically independent or orthogonal)

c.Exercise and sleep are correlated

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!