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Multiple and partial correlation(old)
Multiple correlation question. Given the correlation coefficent of Y with X1 is r01, the correlation coefficent of Y with X2 is r02 and the correlation coefficent of X1 with X2 is r12 then explain the proportion of variablity of Y. Also find the partial corr coeff between Y and X2 after fitting X1 and find how much of the remaining variability in Y is explained by X2 after fitting X1.
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
Contributors
History
Newcastle University Mathematics and Statistics 9 years, 1 month ago
Created this.There is only one version of this question that you have access to.
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| Name | Type | Generated Value |
|---|
| spx1x2 | number |
118.6
|
||||
| ssqx2 | number |
1616
|
||||
| ssqx1 | number |
2659
|
||||
| r12 | number |
0.47
|
||||
| sx1x2 | number |
1912
|
||||
| pcc | number |
0.607
|
||||
| syx1 | number |
2003
|
||||
| syx2 | number |
1509
|
||||
| ssy | number |
260.4
|
||||
| spyx2 | number |
118.2
|
||||
| spyx1 | number |
327.2
|
||||
| ssqy | number |
1560
|
||||
| datax2 | list |
List of 10 items
|
||||
| rsq | number |
0.89
|
||||
| ssx2 | number |
127.6
|
||||
| r1 | number |
0.91
|
||||
| r2 | number |
0.65
|
||||
| ssx1 | number |
498.1
|
||||
| datax1 | list |
List of 10 items
|
||||
| remv | number |
36.84
|
||||
| s | integer |
10
|
||||
| r | number |
0.4277
|
||||
| datay | list |
List of 10 items
|
||||
| t | list |
[ 114, 147, 122 ]
|
Generated value: number
This variable doesn't seem to be used anywhere.
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
What proportion of the variability in $Y$ is explained by:
(i) $X_1$ alone? $R^2=\;$
(ii) $X_2$ alone? $R^2=\;$
(iii) $X_1$ and $X_2$ together? $R^2=\;$
All percentages to the nearest whole number.
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This question is used in the following exams:
- Multiple and Partial Correlation Practice by Newcastle University Mathematics and Statistics in Content created by Newcastle University.
- Statistics for experimental psychology by Newcastle University Mathematics and Statistics in Content created by Newcastle University.
- David's copy of Statistics for experimental psychology by David Rickard in David's workspace.