Answered: A researcher wants to understand how an…

Name: A researcher wants to understand how an annual mortgage payment (in Ri
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Description: A researcher wants to understand how an annual mortgage payment (in Ringgit) depends on income level and zonal location allowing for interaction. The data are shown below. a. Specify the null and alternative hypotheses to test whether there is intera

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A researcher wants to understand how an annual mortgage payment (in Ringgit) depends on income level and zonal location allowing for interaction. The data are shown below.

a. Specify the null and alternative hypotheses to test whether there is interaction between income and zonal location.
b. Determine the total sum of square, sum of square for income (factor A), sum of square for zonal location (Factor B), sum of square for the interaction between income and zonal location, and error sum of square.
c. Determine the mean square for income (factor A), mean square for zonal location (Factor B), mean square for the interaction between income and zonal location, and mean square error.
d. Determine the F-Statistics and P-Value for income, zonal location and interaction between income and zonal location.

LOW
MEDIUM
HIGH
130
186
231
128
201
216
КОТА
KINABALU
201
195
171
190
186
216
150
191
186
126
218
306
220
263
351
SANDAKAN
260
230
330
311
308
486
280
314
498
233
171
231
173
186
186
TAWAU
131
21
243
128
306
201
77
231
207
120
183
231
180
96
156
LAHAD DATU
160
141
168
130
126
141
80
105
110
13
46
65
18
31
36
KENINGAU
18
46
51
23
41
46
26
41
39

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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