A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. y = 0 + 1 x + 2 x 2 + where y = traffic flow in vehicles per hour x = vehicle speed in miles per hour The following data were collected during rush hour for six highways leading out of the city. Traffic Flow (y) Vehicle Speed (x) 1,257 36 1,329 45 1,227 35 1,335 45 1,350 50 1,124 30 Enter negative values as negative, if necessary. Show the estimated regression equation (to 3 decimals, if necessary). = + x + x 2 What is the value of the coefficient of determination (to 3 decimals)? Note: report R 2 between 0 and 1. What is the value of the F test statistic (to 2 decimals)? What is the p-value? Select Using = .01, what is your conclusion? Select Predict the traffic flow in vehicles per hour for a speed of 39 miles per hour (to the nearest whole number).

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool. suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?