Question

Question 3: Let’s say if you estimate a linear regression equation to be Y= 20 + 4.2x + error, where x= pounds gained in weight and Y equals to miles run before running out of breath. If we know that r squared = 0.64, what can be said below for parts a and b.

1. 1.) That the correlation coefficient is r= 0.80 (See other attachment referring to Answer to #3 for explanation)

2.) That the correlation coefficient is r= - 0.80

3.) That 64% of the variation in y (miles run) is explained by 64% in x (gained pounds)

4.) #2 and #3

5.) All of the above

2. 1.) The correlation between miles run (y) and pounds gained (x) is 0.8 (See other attachment Referring to Answer #3 for explanation)

2.) pounds gained in weight (x) explains y (miles run) 80% of the time

3.) The correlation between miles run (y) and pounds gained (x) is -0.8

4.) All of the above

5.) None of the above

Answer 1

A. Ans : 5.) All of the above

B. Ans : 1.) The correlation between miles run (y) and pounds gained (x) is 0.8

(since  r squared = 0.64 and all terms in Y= 20 + 4.2x + error are positive)