Question
In: Statistics and Probability
Variable 1 Variable 2 Variable 3 Variable 1 Variable 2 - .18 Variable 3 - .30...
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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?
Solutions
Expert Solution
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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
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