(a) Test the overall significance of the model at the 1% significance level. What are the hypotheses, the statistical decision and the conclusion? Be precise.
(b) The adjusted coefficient of determination has been deleted from the printout. Calculate the missing adjusted RĀ² statistic and interpret its value.
(c) Do the slope estimates have the signs you would expect? Why or why not? Develop and test appropriate hypotheses concerning the slope coefficients using t-tests at the 5% significance level. What do you conclude?
(d) Carefully explain the meanings of the estimated slope coefficients. Does the y-intercept estimate have a logical interpretation? Why or why not? If it does, how do you interpret it?
(e) Based on this regression, what is the approximate 95% prediction interval of the number of road accidents per month at an intersection with a traffic volume of 18000 cars a day if there are no traffic lights? What is the approximate 95% prediction interval of the number of road accidents per month at an intersection with a traffic volume of 18000 cars a day if there are traffic lights? Interpret these intervals.