For each correlation coefficient below, calculate what proportion of variance is shared by the two correlated variables:

A. r = 0.25r2 = 0.0625

B. r = 0.33r2 = 0.1089

C. r = 0.90r2 = 0.81

D. r = 0.14r2 = 0.6584

A. 0.0625

B. 0.1089

C. 0.81

D. 0.0196

Step-by-step explanation:

The proportion of variance is shared by the two correlated variables is given as the r².

Therefore,

For A. r = 0.25

Proportion of variance is shared by the two correlated variables = 0.25²

= 0.0625

For B. r = 0.33

Proportion of variance is shared by the two correlated variables = 0.33²

= 0.1089

For C. r = 0.90

Proportion of variance is shared by the two correlated variables = 0.90²

= 0.81

For D. r = 0.14

Proportion of variance is shared by the two correlated variables = 0.14²

= 0.0196