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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
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 |
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?
c. Are you able to conduct tests on the main effects? If yes, conduct these tests at the 5% significance level.
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