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Calculate the Pearson correlation coefficient on paired data and comment on the significance.
Metadata
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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
Bill Foster 12 years, 2 months ago
Created this.| Name | Status | Author | Last Modified | |
|---|---|---|---|---|
| Pearson1 | draft | Bill Foster | 06/08/2020 08:41 | |
| Pearson1 | Ready to use | Julie Crowley | 24/01/2025 17:11 | |
| Exam vesrion of Pearson1 | Ready to use | Julie Crowley | 13/11/2020 16:01 | |
| Simon's copy of Pearson1 | draft | Simon Thomas | 27/03/2019 11:32 |
There are 11 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| tsqovern | list |
[ 820.125, 666.125 ]
|
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| obj | list |
List of 8 items
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| r1 | list |
List of 8 items
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| r2 | list |
[ 6, 5, 17, 7, 10, 1, 14, 13 ]
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| ss | list |
[ 242.875, 198.875 ]
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| ssq | list |
[ 1063, 865 ]
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| k | integer |
3
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| m | integer |
20
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| ssd | number |
14
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| n | integer |
8
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| spcoef | number |
0.167
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| corrcoef | number |
0.787
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| vs | list |
[ 0, 0, 0, 0, 1 ]
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| spxy | number |
172.875
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| t | list |
[ 81, 73 ]
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| tol | number |
0.001
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| v | list |
[ 0, 0, 1, 0, 0 ]
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| sxy | number |
912
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| rr2 | list |
[ 3, 2, 8, 4, 5, 1, 7, 6 ]
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| rr1 | list |
[ 4, 2, 5, 3, 6, 1, 8, 7 ]
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| d | list |
[ 1, 0, -3, -1, 1, 0, 1, 1 ]
|
Generated value: list
[ 820.125, 666.125 ]
← Depends on:
This variable doesn't seem to be used anywhere.
Parts
Gap-fill
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| Wife $(X)$ | $\sum x=\;$ |
$\sum x^2=\;$ |
|---|---|---|
| Husband $(Y)$ | $\sum y=\;$ |
$\sum y^2=\;$ |
Also find $\sum xy=\;$
$\displaystyle SSX = \;$
$\displaystyle SSY = \;$
$\displaystyle SPXY = \;$
Hence calculate the correlation coefficient $r$:
$r=\;$
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This question is used in the following exams:
- Correlation Practice by Bill Foster in Bill's workspace.
- Maths Support: Correlation by Christian Lawson-Perfect in Maths Support Wiki.
- mathcentre: Correlation by Newcastle University Mathematics and Statistics in mathcentre.
- Morgiane's copy of mathcentre: Correlation by Morgiane Richard in Morgiane's workspace.
- mathcentre: Correlation by Michael Proudman in Mathcentre based Materials.
- Jia's copy of mathcentre: Correlation by Jia Shao in Jia's workspace.