Question
In: Statistics and Probability
The following information regarding a dependent variable (Y) and an independent variable (X) is provided to help you fill in the following blanks.
The following information regarding a dependent variable (Y) and an independent variable (X) is provided to help you fill in the following blanks.
Y X
4 2
3 1
4 4
6 3
8 5
SSE = 6
SST = 16
The coefficient of correlation is? (Please show calculations)
Solutions
Expert Solution
| X | Y | XY | X^2 | Y^2 |
| 4 | 2 | 8 | 16 | 4 |
| 3 | 1 | 3 | 9 | 1 |
| 4 | 4 | 16 | 16 | 16 |
| 6 | 3 | 18 | 36 | 9 |
| 8 | 5 | 40 | 64 | 25 |
| n | 5 |
| sum(XY) | 85.00 |
| sum(X) | 25.00 |
| sum(Y) | 15.00 |
| sum(X^2) | 141.00 |
| sum(Y^2) | 55.00 |
| Numerator | 50.00 |
| Denominator | 63.25 |
| r | 0.7906 |
| r square | 0.6250 |
| Xbar(mean) | 5.0000 |
| Ybar(mean) | 3.0000 |
| SD(X) | 1.7889 |
| SD(Y) | 1.4142 |
| b | 0.6250 |
| a | -0.1250 |
The coefficient of correlation is 0.7906
orchestra answered 3 years agoRelated Solutions
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