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

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

29933333.33

step-by-step explanation: