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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
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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