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 (Oil in 1,000s miles). Based on driver logs and onboard computers, data have been obtained for a sample of 25 trucks. The accompanying file contains relevant data. Click here for the Excel Data File a. Estimate the time until the first engine overhaul as a function of all four predictor variables. Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places. Time= ces Miles+ Load+ Speed+ Oil b-1. At the 10% significance level, are the predictor variables jointly significant? First, specify the competing hypotheses. O Ho: B1 B2 B3 B4 = 0; HA: At least one > 0 O Ho: B1 B2 B3 B4 = 0; HA: At least one Bj < 0 O Ho: B1 B2 B3 B4 = 0; HA: At least one Bj 0 b-2. Find the p-value.

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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 (Oil in 1,000s miles). Based on driver logs and onboard computers,
data have been obtained for a sample of 25 trucks. The accompanying file contains relevant data.
Click here for the Excel Data File
a. Estimate the time until the first engine overhaul as a function of all four predictor variables.
Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.
Time=
ces
Miles+
Load+
Speed+
Oil
b-1. At the 10% significance level, are the predictor variables jointly significant? First, specify the competing hypotheses.
O Ho: B1
B2
B3
B4 = 0; HA: At least one > 0
O Ho: B1
B2
B3
B4 = 0; HA: At least one Bj < 0
O Ho: B1 B2
B3
B4 = 0; HA: At least one Bj
0
b-2. Find the p-value.
Transcribed Image Text: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 (Oil in 1,000s miles). Based on driver logs and onboard computers, data have been obtained for a sample of 25 trucks. The accompanying file contains relevant data. Click here for the Excel Data File a. Estimate the time until the first engine overhaul as a function of all four predictor variables. Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places. Time= ces Miles+ Load+ Speed+ Oil b-1. At the 10% significance level, are the predictor variables jointly significant? First, specify the competing hypotheses. O Ho: B1 B2 B3 B4 = 0; HA: At least one > 0 O Ho: B1 B2 B3 B4 = 0; HA: At least one Bj < 0 O Ho: B1 B2 B3 B4 = 0; HA: At least one Bj 0 b-2. Find the p-value.
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