Interstate 90 is the longest of the east€“west U.S. interstate highways, with its 3112 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.

a. Construct scatter diagram.
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 interchanges per mile along I-90.
d. Find a 95% confidence interval for b1.
e. Explain the meaning of the interval in part d

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State WA ID MT WY SD MN WI IL IN OH PA NY MA Inter 57 15 83 23 61 52 40 19 21 40 14 48 18 Miles 298 73 558 207 412 275 188 103 157 244 47 391 159