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 ($) (Factor A) Low Medium High Zonal Location (Factor B) Downtown 25 55 60 40 60 65 22 5 63 30 100 60 Suburbs 70 75 100 85 50 115 74 54 108 100 45 160 Midtown 75 75 75 55 70 60 41 55 79 40 70 65 Uptown 5 40 59 10 25 30 10 40 45 15 35 40 Construct a two-way (with interaction) ANOVA table for these data. At the 5% significance level, can you conclude there is interaction between income and zonal location? Are you able to conduct tests on the main effects? If yes, conduct these tests at the 5% significance level
A researcher wants to understand how an annual mortgage payment (in dollars) depends on income level and zonal location allowing for an interaction. The data are shown below. Income ($) (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
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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.
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