The maintenance manager at a trucking company wants to build a regression model

Question

The maintenance manager at a trucking company wants to build a regression model to forecast time until the first engine overhaul based on four explanatory variables: (1) annual miles driven, (2) average load weight, (3) average driving speed, and (4) oil change interval. Based on driver logs and onboard computers, data have been obtained for a sample of 25 trucks. ck h a. Estimate the time until the first engine overhaul as a function of all four explanatory variables. (Round your answers to 4 decimal places.) -0.0896 Miles-0.0732 Load 0.0048 Speed 0297 Oil b-1. At the 10% significance level, are the explanatory variables jointly significant? First, specify the competing hypotheses. O Ho. 1-p2-p3-p4=0:HAi At least one j > 0 O Ho:A-p2-p3-p4-0; HA At least one j

Explanation / Answer

a)

Time=13.4343-0.08956*Annual Miles Driven-0.0732*Average Load Weight+0.0048*Average Driving Speed-0.0297*Oil Change Interval

b-1)

option 4 (selected is correct)

b-2)

p-value<0.01

b-3)

Reject, H0

c-1)

option 4 (selected is correct)

c-2)

SUMMARY OUTPUT Regression Statistics Multiple R 0.95 R Square 0.91 Adjusted R Square 0.89 Standard Error 0.81 Observations 25 ANOVA df SS MS F Significance F Regression 4 132.87 33.22 50.47 0.00 Residual 20 13.16 0.66 Total 24 146.03 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 13.43 2.19 6.13 0.00 8.86 18.01 Annual Miles Driven -0.09 0.01 -7.38 0.00 -0.11 -0.06 Average Load Weight -0.07 0.09 -0.81 0.43 -0.26 0.12 Average Driving Speed 0.00 0.03 0.16 0.87 -0.06 0.07 Oil Change Interval -0.03 0.04 -0.76 0.46 -0.11 0.05

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