(All Steps) Suppose you have these observations on x and y: x Y 0 3 1 6 2 5 3 8 4 9 5 13 Calculate (manually): X̄ and Ȳ ii) beta #770;_0 and beta #770;_1
Question: Suppose you have these observations on x and y:
| x | Y |
| 0 | 3 |
| 1 | 6 |
| 2 | 5 |
| 3 | 8 |
| 4 | 9 |
| 5 | 13 |
Calculate (manually): \[\]
- \(\bar{X}\) and \(\bar{Y}\)
ii) \[{{\hat{\beta }}_{0}}\] and \[{{\hat{\beta }}_{1}}\] if you hypothesize that x and y are related (in the population) in the following manner:
E(y|x) = β 0 + β 1 x
You need to use the formulas for calculating the parameters, not SAS or Stata.
iii) SST, SSR, SSE, R 2
iv) Show that the residuals add to zero.
Note: Please show all the steps.
Deliverable: Word Document 