[See Steps] Consider the following data: X Y 7 2 4 4 6 2 2 5 1 7 1 6 3 5 Calculate errors and residuals Now compute X̄ Ȳ cov;(X,Y) var;(X) beta #770;_1
Question: Consider the following data:
| X | Y |
| 7 | 2 |
| 4 | 4 |
| 6 | 2 |
| 2 | 5 |
| 1 | 7 |
| 1 | 6 |
| 3 | 5 |
-
Calculate errors and residuals
Now compute - \(\bar{X}\)
- \(\bar{Y}\)
- \(\operatorname{cov}\left( X,Y \right)\)
- \(\operatorname{var}\left( X \right)\)
- \({{\hat{\beta }}_{1}}\)
- \({{\hat{\beta }}_{0}}\)
- \(RSS\)
- \(ESS\)
- \(TSS\)
- \({{R}^{2}}\)
- \(r\)
- \(MSE\)
- \(MSR\)
- \(s=\sqrt{MSE}=\sqrt{0.24407}=0.4940\)
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