The Delivery Time Data: A soft drink bottler is analyzing the vending machine service routes in his distribution system. He is interested in predicting the amount of time required by the route driver to service the vending machines in an outlet. This service activity included a) Fit a multiple linear regression model relating the number of cases and distance to the delivery time b) Construct the analysis of variance table and test for the significance of regression c) Calculate R2 and RADJ for this model d) Calculate the t-statistic for testing the hypothes
The Delivery Time Data: A soft drink bottler is analyzing the vending machine service routes in his
distribution system. He is interested in predicting the amount of time required by the route driver to
service the vending machines in an outlet. This service activity included
a) Fit a multiple linear regression model relating the number of cases and distance to the delivery time
b) Construct the analysis of variance table and test for the significance of regression
c) Calculate R2
and RADJ for this model
d) Calculate the t-statistic for testing the hypothesis Ho: β2=0, Ho: β1=0 and Ho: βo=0
Table 2 Delivery Time Data
Delivery time (minutes) Number of Cases Distance (ft)
16.68 7 560
11.50 3 220
12.03 3 340
14.88 4 80
13.75 6 150
18.11 2 330
8.00 7 110
17.83 2 210
79.24 30 1460
21.50 5 605
40.33 16 688
21.00 10 215
13.50 4 255
19.75 6 462
24.00 9 448
29.00 10 776
15.35 6 200
19.00 7 132
9.50 3 36
15.35 17 770
35.10 10 140
17.90 26 810
52.32 9 450
18.75 8 635
10.75 4 150
g) Using the partial F test, determine the contribution to the model. How is this partial F statistic related
to the t-test for β calculated in part (d)
f) Write a short report of your findings
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