of 20 deliveries within a territory was selected. The delivery times and the number of cases delivered were organized in the following table and stored in Delivery Delivery Delivery Number Time Number Time Customer of Cases (minutes) | Customer of Cases (minutes) 1 52 32.1 11 161 43.0 2 64 34.8 12 184 49.4 3 73 36.2 13 202 57.2 4 85 37.8 14 218 56.8 95 37.8 15 243 60.6 103 39.7 16 254 61.2 7 116 38.5 17 267 58.2 8. 121 41.9 18 275 63.1 9. 143 44.2 19 287 65.6 10 157 47.1 20 298 67.3 a. Use the least-squares method to compute the regression coef- ficients bo and bị. b. Interpret the meaning of bo and bị in this problem. c. Predict the mean delivery time for 150 cases of soft drink.

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of 20 deliveries within a territory was selected. The delivery times
and the number of cases delivered were organized in the following
table and stored in Delivery
Delivery
Delivery
Time
Number
Time
Number
Customer of Cases (minutes) Customer of Cases (minutes)
1
52
32.1
11
161
43.0
2
64
34.8
12
184
49.4
3
73
36.2
13
202
57.2
85
37.8
14
218
56.8
95
37.8
15
243
60.6
103
39.7
16
254
61.2
7
116
38.5
17
267
58.2
8
121
41.9
18
275
63.1
9
143
44.2
19
287
65.6
10
157
47.1
20
298
67.3
a. Use the least-squares method to compute the regression coef-
ficients bo and bị.
b. Interpret the meaning of bo and b¡ in this problem.
c. Predict the mean delivery time for 150 cases of soft drink.
d. Should you use the model to predict the delivery time for a cus-
tomer who is receiving 500 cases of soft drink? Why or why not?
e. Determine the coefficient of determination, r², and explain its
meaning in this problem.
f. Perform a residual analysis. Is there any evidence of a pattern
in the residuals? Explain.
g. At the 0.05 level of significance, is there evidence of a linear
relationship between delivery time and the number of cases
delivered?
h. Construct a 95% confidence interval estimate of the mean
delivery time for 150 cases of soft drink and a 95% prediction
interval of the delivery time for a single delivery of 150 cases
of soft drink.
i. What conclusions can you reach from (a) through (h) about the
relationship between the number of cases and delivery time?
Transcribed Image Text:of 20 deliveries within a territory was selected. The delivery times and the number of cases delivered were organized in the following table and stored in Delivery Delivery Delivery Time Number Time Number Customer of Cases (minutes) Customer of Cases (minutes) 1 52 32.1 11 161 43.0 2 64 34.8 12 184 49.4 3 73 36.2 13 202 57.2 85 37.8 14 218 56.8 95 37.8 15 243 60.6 103 39.7 16 254 61.2 7 116 38.5 17 267 58.2 8 121 41.9 18 275 63.1 9 143 44.2 19 287 65.6 10 157 47.1 20 298 67.3 a. Use the least-squares method to compute the regression coef- ficients bo and bị. b. Interpret the meaning of bo and b¡ in this problem. c. Predict the mean delivery time for 150 cases of soft drink. d. Should you use the model to predict the delivery time for a cus- tomer who is receiving 500 cases of soft drink? Why or why not? e. Determine the coefficient of determination, r², and explain its meaning in this problem. f. Perform a residual analysis. Is there any evidence of a pattern in the residuals? Explain. g. At the 0.05 level of significance, is there evidence of a linear relationship between delivery time and the number of cases delivered? h. Construct a 95% confidence interval estimate of the mean delivery time for 150 cases of soft drink and a 95% prediction interval of the delivery time for a single delivery of 150 cases of soft drink. i. What conclusions can you reach from (a) through (h) about the relationship between the number of cases and delivery time?
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