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?