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For each of the four sets of data given below (Anscombe.1973), plot y verses x. The data are given in the file Anscombe. Fit a straight line to each of the data sets giving least squares estimates, ANOVA table, and R squared. Compute the correlation coefficient between y and x for each data set. Comment on your results. Would a linear regression of y on x be appropriate in all cases? Discuss.
Y1
X1
Y2
X2
Y3
X3
Y4
X4
8.04
10
9.14
7.46
6.58
8
6.95
8.14
6.77
5.76
7.58
13
8.74
12.74
7.71
8.81
9
8.77
7.11
8.84
8.33
11
9.26
7.81
8.47
9.96
14
8.1
7.04
7.24
6
6.13
6.08
5.25
4.26
4
3.1
5.39
12.5
19
10.84
12
9.13
8.15
5.56
4.82
7
7.26
6.42
7.91
5.68
5
4.74
5.73
6.89
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