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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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