Determine the coefficient of determination, r2, and interpret its meaning.

Subject: Mathematics    / Statistics
Homework Assignment
Week 12 Chapter 13: Regression Analysis
Instruction: The use of PHSTAT2 package is not necessary.
It is only a guide. If you use it please report and interpret
your answer in separate parts per question. Question 13.4 , page 481
The marketing manager of a large supermarket chain would like to
use shelf space to predict the sales of pet food. A random sample of
12 equalized stores is selected, with the following results.
Store
1
2
3
4
5
6
7
8
9
10
11
12 Shelf Space(X)
5
5
5
10
10
10
15
15
15
20
20
20 Weekly sales(Y)
160
220
140
190
240
260
230
270
280
260
290
310 a) Construct a scatter plot. For these data, b0 = 145 and b1 = 1 7.4
b) Interpret the meaning of the slope, b1, in this problem
c) Predict the weekly sales of pet food for stores with 8 feet of shelf
space for pet food. Question 13.16, page 487 In Problem 13.4 on page 481, the marketing manager used shelf for pet food
to predict weekly sales (stored in Petfood). For those data SSR = 20,535 and
SST = 30,025
a. Determine the coefficient of determination, r2, and interpret its
meaning.
b. Determine the standard error of the estimate.
c. How useful do you think this regression model is for predicting sales

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Homework Assignment Week 11 Chapter 13
Instruction: The use of PHSTAT2 package or excel is not necessary. It is only a
guide. If you use it please report and interpret your answer in separate parts per
question. Question 1
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. To begin,
management decided to develop a regression model to predict delivery time based on the
number of cases delivered. A sample of 20 deliveries within a territory was selected. The
delivery times and the number of cases delivered were organized in the following table. Customers Number of Cases 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20 52
64
73
85
95
103
116
121
143
157
161
184
202
218
243
254
267
275
287
298 a)
b)
c)
d) Delivery Time
(minutes)
32
35
36
38
38
40
39
42
44
47
43
49
57
57
61
61
58
63
66
67 What is the dependent variable? Why? Label it as Y and find its mean value
What is the independent variable? Why?
Construct a scatter plot. Hint: see page 430
For these data, b0 = 124.84 and b1 = 0.14. Interpret the meaning of b0 and b1 in this
problem.
e) What is the predicted line in this problem? Hint: See page 43 or 432 2
f) Predict the mean delivery time for 150cases of soft drink? Question 2
If SSR = 66 and SST = 88:
a. Determine the coefficient of determination, r2, and interpret its
meaning. Show your work
b. Determine the standard error of estimate, if the sample size = 50.
Show your work
c. How useful do you think this regression model is for predicting sales?
Explain

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