(Solved): The maintenance manager at a trucking company wants to build a regression model to forecast the tim ...

The maintenance manager at a trucking company wants to build a regression model to forecast the time until the first engine overhaul (Time in years) based on four predictor variables: (1) annual miles driven (Miles in 1,000s), (2) average load weight (Load in tons), (3) average driving speed (Speed in mph), and (4) oil change interval (Oll in 1,000s of miles). The accompanying data file shows the results for 25 trucks. Click here for the Excel Data. File b. Predict the time before the first engine overhaul for a particular truck driven 61,000 miles per year with an average load of 20 tons; an average driving speed of \( 57 \mathrm{mph} \), and 18,000 miles between oil changes. Note: Do not round intermediate calculations. Round final answer to 3 decimal places. c. Calculate and interpret the \( 90 \% \) confidence interval for the mean time before the first engine overhaul given the values for the predictor variables from part b. Note: Round final answers to 2 decimal places. d. Calculate and interpret the \( 90 \% \) prediction interval for the time before the first engine overhaul given the values for the predictor variables from part b. Note: Round final answers to 2 decimal places.