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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%

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

 

  1. Construct a two-way (with interaction) ANOVA table for these data. 

 

  1. At the 5% significance level, can you conclude there is interaction between income and zonal location? 

 

  1. Are you able to conduct tests on the main effects? If yes, conduct these tests at the 5% significance level.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 1 images

Blurred answer
Knowledge Booster
Anova and Design of Experiments
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman