Question

A recent study on the relationship between children's weight and their achievement test scores determined the correlation coefficient to be .9734. Which is the most reasonable conclusion based on the correlation coefficient?

A) Children who weigh more score lower on achievement tests.
B) As age increases, so do body weight and achievement test scores.
C) Children who weigh more spend more time on studying for achievement tests.
D) Children should increase their food intake to increase their achievement test scores.​

Answer 1

B) As age increases, so do body weight and achievement test scores.

Explanation:

Answer 2

C. Children who weigh more spend more time on studying for achievement test .

Explanation:

Correlation is a measure of relationship , mutual co-interdependence (fluctuation) between two quantitative variables .

Direct / Positive (+) correlation means the variables are directly related - one increase , other increase & one increase , other decrease . Inverse / Negative (-) correlation means the variables are inversely related - one increase , other decrease & one decrease, other increase . It lies between -1 to +1 . Correlation more than + 0.5 implies Strong correlation, less than that implies Weak correlation.

The correlation between above variables - weight and achievement test score is 0.9734 i.e there is Strong Positive relationship . So , increase in one strongly leads to increasing trend in other