answer this questions

2) Researchers at Montana State University have written a tutorial on an empirical method for analysing before and after highway crash. The initial stap in the methodology is to develop a safety Performance Function (SPF) a mathematical model that estimates crash occurrence for a given roadway segment. Using data collected for over 100 roadway segments, the researchers t the model, E(y)= [lo + [31)\" + zxz, where y - number of crashes per 3 years, x. roadway length (miles) and X2 AADT = average annual daily trafc (number of vehicles). The result is shown below Interstate Hi- hwa 5 Estimate 181231 - 10875 .03166 . . a) Give the least squares prediction equation for the interstate highway model. b) Give practical interpretations of the B estimates. c) Find a 99% (3.] for [31 and interpret the result. d) Find a 90% (3.] for [52 and interpret the result. (4 marks) 2) Researchers at Montana State University have written a tutorial on an empirical method for analysing before and after highway crash. The initial stap in the methodology is to develop a safety Performance Function (SPF) - a mathematical model that estimates crash occurrence for a given roadway segment. Using data collected for over 100 roadway segments, the researchers fit the model, E(y) - Bo + Bix1 + 2Xz, where y = number of crashes per 3 years, x1 = roadway length (miles), and x2 = AADT = average annual daily traffic (number of vehicles). The result is shown below Interstate Highways Variable Parameter Standard Error t - value Estimate Intercept 1.81231 50568 3.58 Length(X1) 10875 03166 3.44 AADT (X2) .00017 00003 5.19 a) Give the least squares prediction equation for the interstate highway model. b) Give practical interpretations of the B estimates. c) Find a 99% C.I for Bi and interpret the result. d) Find a 90% C.I for By and interpret the result. (4 marks)