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) LowMediumHighZonal Location(Factor B)Downtown255560 406065 22563 3010060 Suburbs7075100 8550115 7454108 10045160 Midtown757575 557060 415579 407065 Uptown54059 102530 104045 153540 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.

There are two factors which are Zonal Location and Income. Zonal Location has 4 types which are…

Answered: A researcher wants to understand how an…

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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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