Linear Algebra: A Modern Introduction
4th Edition
ISBN: 9781285463247
Author: David Poole
Publisher: Cengage Learning
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A researcher wants to understand how an annual mortgage payment (in dollars) depends on income level and zonal location allowing for an interaction. The data are shown below.
Income ($) (Factor A)
Low
Medium
High
Zonal Location
(Factor B)
Downtown
25
55
60
40
60
65
22
5
63
30
100
60
Suburbs
70
75
100
85
50
115
74
54
108
100
45
160
Midtown
75
75
75
55
70
60
41
55
79
40
70
65
Uptown
5
40
59
10
25
30
10
40
45
15
35
40
Construct a two-way (with interaction) ANOVA table for these data.
At the 5% significance level, can you conclude there is interaction between income and zonal location?
Are you able to conduct tests on the main effects? If yes, conduct these tests at the 5% significance level.
QUESTION 3
A researcher wants to understand how an annual mortgage payment (in Ringgit) depends on income level and zonal location allowing for an interaction. The data are shown below.
LOW
MEDIUM
HIGH
KOTA KINABALU
75
165
180
120
180
195
66
15
189
90
300
180
SANDAKAN
210
225
300
255
150
345
222
162
324
300
135
480
TAWAU
225
225
225
165
210
180
123
165
237
120
210
195
LAHAD DATU
15
120
177
30
75
90
30
120
135
45
105
120
KENINGAU
5
40
59
10
25
30
10
40
45
15
35
40
a. Construct a two-way (with interaction) ANOVA table for these data. b. At the 5% significance level, can you conclude there is interaction between income and zonal location?
Stores, a division of National Clothing, is a chain of women’s apparel stores operating throughout the country. The chain recently ran a promotion in which discount coupons were sent to customers of other National Clothing stores. Data collected for a sample of 100 in-store credit card transactions at Pelican Stores during one day while the promotion was running are contained in the file PelicanStores. Table 3.13 shows a portion of the data set.
The Proprietary Card method of payment refers to charges made using a National Clothing charge card. Customers who made a purchase using a discount coupon are referred to as promotional customers and customers who made a purchase but did not use a discount coupon are referred to as regular customers. Because the promotional coupons were not sent to regular Pelican Stores customers, management considers the sales made to people presenting the promotional coupons as sales it would not otherwise make. Of course, Pelican also hopes that the…
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