A researcher wants to understand how an annual mortgage payment (in Ringgit) depends on income level and zonal location allowing for an interaction. The data are shown below. LOW MEDIUM HIGH KOTA KINABALU 75 165 180 120 180 195 66 15 189 90 300 180 SANDAKAN 210 225 300 255 150 345 222 162 324 300 135 480 TAWAU 225 225 225 165 210 180 123 165 237 120 210 195 LAHAD DATU 15 120 177 30 75 90 30 120 135 45 105 120 KENINGAU 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?
QUESTION 3
A researcher wants to understand how an annual mortgage payment (in Ringgit) depends on income level and zonal location allowing for an interaction. The data are shown below.
|
|
LOW |
MEDIUM |
HIGH |
|
KOTA KINABALU
|
75 |
165 |
180 |
|
120 |
180 |
195 |
|
|
66 |
15 |
189 |
|
|
90 |
300 |
180 |
|
|
SANDAKAN
|
210 |
225 |
300 |
|
255 |
150 |
345 |
|
|
222 |
162 |
324 |
|
|
300 |
135 |
480 |
|
|
TAWAU
|
225 |
225 |
225 |
|
165 |
210 |
180 |
|
|
123 |
165 |
237 |
|
|
120 |
210 |
195 |
|
|
LAHAD DATU
|
15 |
120 |
177 |
|
30 |
75 |
90 |
|
|
30 |
120 |
135 |
|
|
45 |
105 |
120 |
|
|
KENINGAU
|
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?
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