(Computer exercise) The accompanying table gives two data sets: (A) and (B). The values of X are the same for both data sets and are given only once.
|
(A) (B)
|
(A) (B)
|
|
X
|
Y
|
Y
|
X
|
Y
|
Y
|
|
0.61
|
0.88
|
0.96
|
2.56
|
1.97
|
1.20
|
|
0.93
|
1.02
|
0.97
|
2.74
|
2.02
|
3.59
|
|
1.02
|
1.12
|
0.07
|
3.04
|
2.26
|
3.09
|
|
1.27
|
1.10
|
2.54
|
3.13
|
2.27
|
1.55
|
|
1.47
|
1.44
|
1.41
|
3.45
|
2.43
|
0.71
|
|
1.71
|
1.45
|
0.84
|
3.48
|
2.57
|
3.05
|
|
1.91
|
1.41
|
0.32
|
3.79
|
2.53
|
2.54
|
|
2.00
|
1.59
|
1.46
|
3.96
|
2.73
|
3.33
|
|
2.27
|
1.58
|
2.29
|
4.12
|
2.92
|
2.38
|
|
2.33
|
1.66
|
2.51
|
4.21
|
2.96
|
3.08
|
(a) Verify that the fitted regression line is almost exactly the same for all three data sets. Are the residual standard deviations the same? Are the values of r the same?
(b) Construct a scatterplot for each of the data sets. What does each plot tell you about the appropriateness of linear regression for the data set?
(c) Plot the fitted regression line on each of the scatter- plots.