Question: Examine the five pairs of data points given in the following table:

a) What is the mathematical relationship between X and Y?

b) Show by computation that, for the straight-line regression of Y on X, \[{{\hat{\beta }}_{1}}=0\].

c) Show by computation that r=0

d) Why is there apparently no relationship between X and Y, as indicated by the estimates of \[{{\beta }_{1}}\] and \[\rho \] ?