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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 Seattle WA 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 MilesWA 57 298ID 15 73MT 83 558WY 23 207SD 61 412MN 52 275WI 40 188IL 19 103IN 21 157OH 40 244PA 14 47NY 48 391MA 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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