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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 16CT: How many six-digit license plates can be made if no plate begins with 0 or 1?
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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
Transcribed Image Text: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
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