Question

In: Statistics and Probability

Variable 1 Variable 2 Variable 3 Variable 1 Variable 2 - .18 Variable 3 - .30...

Variable 1	Variable 2	Variable 3
Variable 1
Variable 2	- .18
Variable 3	- .30	.27
Variable 4	- .74*	.60*	.34

Note: * = p < .05

A) What is the proportion of variance in variable 1 that is predicted by variable 3?

B) What is the proportion of the variance in variable 2 that is not predicted by variable 4?

What are the steps I need to take to solve this problem?

Expert Solution

	Variable 1	Variable 2	Variable 3
Variable 1
Variable 2	- .18
Variable 3	- .30	.27
Variable 4	- .74*	.60*	.34

Given: r, the correlation between the variables.

r² is the proportion of variance explained

A) What is the proportion of variance in variable 1 that is predicted by variable 3?

Correlation between variable 1 and variable 3 is -0.30

r² = (-0.30)*(-0.30) = 0.09

the proportion of variance in variable 1 that is predicted by variable 3 = 0.09

B) What is the proportion of the variance in variable 2 that is not predicted by variable 4?

What are the steps I need to take to solve this problem?

Correlation between variable 2 and variable 4 is 0.60

r² = 0.60*0.60 = 0.36

the proportion of variance in variable 2 that is predicted by variable 4 = 0.36

the proportion of variance in variable 2 that is not predicted by variable 4 = 1-0.36

= 0.64

orchestra answered 1 year ago

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