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Data sets giving least squares estimates

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Reference no: EM131083785

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

10

7.46

10

6.58

8

6.95

8

8.14

8

6.77

8

5.76

8

7.58

13

8.74

13

12.74

13

7.71

8

8.81

9

8.77

9

7.11

9

8.84

8

8.33

11

9.26

11

7.81

11

8.47

8

9.96

14

8.1

14

8.84

14

7.04

8

7.24

6

6.13

6

6.08

6

5.25

8

4.26

4

3.1

4

5.39

4

12.5

19

10.84

12

9.13

12

8.15

12

5.56

8

4.82

7

7.26

7

6.42

7

7.91

8

5.68

5

4.74

5

5.73

5

6.89

8
  • Fit a straight line (regression line) to each of the data sets giving least squares estimates, ANOVA table, and R squared. Interpret the regression line.
  • Compute the correlation coefficient between y and x for each data set. Comment on your results
  • Display the scatter plot between y and x for each data set.
  • Would a linear regression of y on x be appropriate in all cases? Discuss.

Reference no: EM131083785

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