Management of a soft drink bottling company has the business objective of developing a method for allocating delivery costs to customers. Although one cost clearly relates to travel time within a particular route, another variable cost reflects the time required to unload the cases of soft drink at the delivery point. To begin, management decided to develop a regression model to predict delivery time based on the number of cases delivered. A sample of 7 deliveries within a territory was selected. The delivery times and the number of cases delivered were organized in the following table: Customer No. of Cases Delivery Time 1 14 24 2 16 31 3 17 28 4 19 30 5 11 20 16 22 7 24 40 a) Use the least-squares method to compute the regression coefficients. b) Write down the estimated equation and interpret the meaning of the coefficients in this problem c) Predict the mean delivery time for 26 cases of soft drink. d) Determine the value of the extent of relationship between delivery time and number of cases and interpret your result. e) Determine the coefficient of detemination and explain its meaning in this problem. f) What variation in delivery time is not attributed to the number of cases g) At the 5% significance level, determine whether there a correlation between delivery time and number of cases.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Management of a soft drink bottling company has the business objective of developing a
method for allocating delivery costs to customers. Although one cost clearly relates to travel
time within a particular route, another variable cost reflects the time required to unload the
cases of soft drink at the delivery point. To begin, management decided to develop a regression
model to predict delivery time based on the number of cases delivered. A sample of 7 deliveries
within a territory was selected. The delivery times and the number of cases delivered were
organized in the following table:
Customer No. of Cases Delivery
Time
1
14
24
16
31
3
17
28
4
19
30
5
11
20
6
16
22
7
24
40
a) Use the least-squares method to compute the regression coefficients.
b) Write down the estimated equation and interpret the meaning of the coefficients in this
problem
c) Predict the mean delivery time for 26 cases of soft drink.
d) Determine the value of the extent of relationship between delivery time and number of
cases and interpret your result.
e) Determine the coefficient of determination and explain its meaning in this problem.
f) What variation in delivery time is not attributed to the number of cases
g) At the 5% significance level, determine whether there a correlation between delivery
time and number of cases.
Transcribed Image Text:Management of a soft drink bottling company has the business objective of developing a method for allocating delivery costs to customers. Although one cost clearly relates to travel time within a particular route, another variable cost reflects the time required to unload the cases of soft drink at the delivery point. To begin, management decided to develop a regression model to predict delivery time based on the number of cases delivered. A sample of 7 deliveries within a territory was selected. The delivery times and the number of cases delivered were organized in the following table: Customer No. of Cases Delivery Time 1 14 24 16 31 3 17 28 4 19 30 5 11 20 6 16 22 7 24 40 a) Use the least-squares method to compute the regression coefficients. b) Write down the estimated equation and interpret the meaning of the coefficients in this problem c) Predict the mean delivery time for 26 cases of soft drink. d) Determine the value of the extent of relationship between delivery time and number of cases and interpret your result. e) Determine the coefficient of determination and explain its meaning in this problem. f) What variation in delivery time is not attributed to the number of cases g) At the 5% significance level, determine whether there a correlation between delivery time and number of cases.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman