(Solution Library) (20 points) Examine the five pairs of data points given in the following table: i 1 2 3 4 5 X i -2 -1 0 1 2 Y i 4 1 0 1 4 What is the mathematical
Question: ( 20 points ) Examine the five pairs of data points given in the following table:
| i | 1 | 2 | 3 | 4 | 5 |
| X i | -2 | -1 | 0 | 1 | 2 |
| Y i | 4 | 1 | 0 | 1 | 4 |
- What is the mathematical relationship between X and Y?
- Show by computation that, for the straight-line regression of Y on X, \[{{\hat{\beta }}_{1}}=0\] .
- Show by computation that r=0
- Why is there apparently no relationship between X and Y, as indicated by the estimates of \[{{\beta }_{1}}\] and \[\rho \] ?
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