Interstate 90 is the longest of the ease-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 nu8mber of intersections in each of those states is listed below.
State WA ID MT WY SD MN WI IL IN OH PA NY MA
Intersections 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
A. Construct a scatter diagram of the date
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 if 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