Construct a scatter diagram of the data


Interstate 90 is the longest of the east-west U.S. interstate highways with its 3,112 miles stretching from Boston, MA at I-93 on the eastern end to SeattleWA at the Kingdome on the western end. It travels across 13 northern states; the number of miles and number of intersections in each of those states is listed below.

State

No. of Inter

Miles

WA

57

298

ID

15

73

MT

83

558

WY

23

207

SD

61

412

MN

52

275

WI

40

188

IL

19

103

IN

21

157

OH

40

244

PA

14

47

NY

48

391

MA

18

159

 

a) Construct a scatter diagram of the data.

b) Find the equation for the line of best fit using x= miles and y=intersections.

c) Using the equation found in part (b), estimate the average number of intersections per mile along I-90.

d) Find a 95% confidence interval for β1.

e) Explain the meaning of the interval found in part d.

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