Question

10. Suppose a car is chosen at random. Let X be the weight of the car...

10. Suppose a car is chosen at random. Let X be the weight of the car (in hundreds of pounds) and let Y be the miles per gallon.

X

Y

27

30

44

19

32

24

47

13

23

29

40

17

34

21

52

14

a. Find b (the slope of the line of best fit) ___________________

b. Find a (the y-intercept of the line of best fit) ___________________

Homework Answers

Answer #1

10.

Let X be the weight of the car (in hundreds of pounds) and let Y be the miles per gallon.

Regression Equation is Y=a+bX


n : sample size = 8

X Y XY
27 30 810 729
44 19 836 1936
32 24 768 1024
47 13 611 2209
23 29 667 529
40 17 680 1600
34 21 714 1156
52 14 728 2704
=299 =167 =5814 =11887

a. Find b (the slope of the line of best fit)   -0.600702370500439

b. Find a (the y-intercept of the line of best fit)   43.3262510974539

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