Analyze the five pairs of data points given in following table
i

x

y

1

2

4

2

1

1

3

0

0

4

1

1

5

2

4

1. The mathematical relationship between X and Y
2. Show by calculation that, for the straight line regression of Y on x, β1= 0
3. Show by calculation that r =0
4. Why is there apparently no relationship between x and y, as indicated by the estimates of β1 and ρ?