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The following table presents the speed (in mph) and the stopping distance (in feet) for a sample of cars. x = Speed 4 7 8

The following table presents the speed (in mph) and the stopping distance (in feet) for a sample of cars.

x = Speed

4

7

8

9

10

11

12

13

14

15

x2

y = Distance

12

14

19

20

18

22

25

32

38

38

x = Speed

16

17

18

19

20

22

23

24

25

x2

y = Distance

44

48

49

57

59

75

78

87

90

A) Compute the least-squares regression line for predicting stopping distance (y) from speed (x) and record it below.

B) Construct a residual plot in Statdisk. Explain why the least-squares regression line is not an appropriate summary of the data. (You do not need to submit the residual plot.)

C) For each data point, square the speed and record this (x2) in the table above. Compute the least-squares regression line for predicting stopping distance y from speed x2 and record it below.

D) Construct a residual plot in Statdisk. Is this line an appropriate summary?

(You do not need to submit the residual plot.)

E) Use the equation computed in part (c) to predict the stopping distance for a car whose speed is 15 mph.

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