Residual Plots A residual plot allows you to assess correlation data and check for possible probl

Residual Plots A residual plot allows you to assess correlation data and check for possible probl

Residual Plots A residual plot allows you to assess correlation data and check for possible problems with a regression model. To construct a residual plot, make a scatter plot of 1x, y – ny2, where y – ny is the residual of each y-value. If the resulting plot shows any type of pattern, then the regression line is not a good representation of the relationship between the two variables. If it does not show a pattern—that is, if the residuals fluctuate about 0—then the regression line is a good representation. Be aware that if a point on the residual plot appears to be outside the pattern of the other points, then it may be an outlier.

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Residual Plots A residual plot allows you to assess correlation data and check for possible probl
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In Exercises 33 and 34, (a) find the equation of the regression line, (b) construct a scatter plot of the data and draw the regression line, (c) construct a residual plot, and (d) determine whether there are any patterns in the residual plot and explain what they suggest about the relationship between the variables.

x

38

34

40

46

43

48

60

55

52

y

24

22

27

32

30

31

27

26

28

x

8

4

15

7

6

3

12

10

5

y

18

11

29

18

14

8

25

20

12