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: SUMMARY LOW MEDIUM HIGH Total KOTA KINABALU Count 5 5 5 15 Sum 799 959 1020 2778 Average 159.8 191.8 204 185.2 Variance 1151.2 40.7 607.5 886.314286 SANDAKAN Count 5 5 5 15 Sum 1197 1333 1971 4501 Average 239.4 266.6 394.2 300.066667 Variance 5108.8 1918.8 8242.2 9241.92381 TAWAU Count 5 5 5 15 Sum 742 915 1068 2725 Average 148.4 183 213.6 181.666667 Variance 3394.8 10957.5 532.8 5012.95238 LAHAD DATU Count 5 5 5 15 Sum 670 651 806 2127 Average 134 130.2 161.2 141.8 Variance 1480 1181.7 1993.7 1534.31429 KENINGAU Count 5 5 5 15 Sum 98 205 237 540 Average 19.6 41 47.4 36 Variance 25.3 37.5 131.3 206.857143 Total Count 25 25 25 Sum 3506 4063 5102 Average 140.24 162.52 204.08 Variance 7042.27333 8172.92667 14964.4933 ANOVA Source of Variation SS df MS F P-value F crit Zonal Location 540452.72 4 135113.18 55.0676207 2.0312E-19 2.5252151 Income 52493.1467 2 26246.5733 10.6972269 0.00010634 3.15041131 Interaction 36644.72 8 4580.59 1.86689554 0.08222561 2.09696831 Within 147215.2 60 2453.58667 Total 776805.787 74 i. Determine the F-Statistics and P-Value for income, zonal location and interaction between income and zonal location.
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: SUMMARY LOW MEDIUM HIGH Total KOTA KINABALU Count 5 5 5 15 Sum 799 959 1020 2778 Average 159.8 191.8 204 185.2 Variance 1151.2 40.7 607.5 886.314286 SANDAKAN Count 5 5 5 15 Sum 1197 1333 1971 4501 Average 239.4 266.6 394.2 300.066667 Variance 5108.8 1918.8 8242.2 9241.92381 TAWAU Count 5 5 5 15 Sum 742 915 1068 2725 Average 148.4 183 213.6 181.666667 Variance 3394.8 10957.5 532.8 5012.95238 LAHAD DATU Count 5 5 5 15 Sum 670 651 806 2127 Average 134 130.2 161.2 141.8 Variance 1480 1181.7 1993.7 1534.31429 KENINGAU Count 5 5 5 15 Sum 98 205 237 540 Average 19.6 41 47.4 36 Variance 25.3 37.5 131.3 206.857143 Total Count 25 25 25 Sum 3506 4063 5102 Average 140.24 162.52 204.08 Variance 7042.27333 8172.92667 14964.4933 ANOVA Source of Variation SS df MS F P-value F crit Zonal Location 540452.72 4 135113.18 55.0676207 2.0312E-19 2.5252151 Income 52493.1467 2 26246.5733 10.6972269 0.00010634 3.15041131 Interaction 36644.72 8 4580.59 1.86689554 0.08222561 2.09696831 Within 147215.2 60 2453.58667 Total 776805.787 74 i. Determine the F-Statistics and P-Value for income, zonal location and interaction between income and zonal location.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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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:
SUMMARY | LOW | MEDIUM | HIGH | Total | ||
KOTA KINABALU | ||||||
Count | 5 | 5 | 5 | 15 | ||
Sum | 799 | 959 | 1020 | 2778 | ||
Average | 159.8 | 191.8 | 204 | 185.2 | ||
Variance | 1151.2 | 40.7 | 607.5 | 886.314286 | ||
SANDAKAN | ||||||
Count | 5 | 5 | 5 | 15 | ||
Sum | 1197 | 1333 | 1971 | 4501 | ||
Average | 239.4 | 266.6 | 394.2 | 300.066667 | ||
Variance | 5108.8 | 1918.8 | 8242.2 | 9241.92381 | ||
TAWAU | ||||||
Count | 5 | 5 | 5 | 15 | ||
Sum | 742 | 915 | 1068 | 2725 | ||
Average | 148.4 | 183 | 213.6 | 181.666667 | ||
Variance | 3394.8 | 10957.5 | 532.8 | 5012.95238 | ||
LAHAD DATU | ||||||
Count | 5 | 5 | 5 | 15 | ||
Sum | 670 | 651 | 806 | 2127 | ||
Average | 134 | 130.2 | 161.2 | 141.8 | ||
Variance | 1480 | 1181.7 | 1993.7 | 1534.31429 | ||
KENINGAU | ||||||
Count | 5 | 5 | 5 | 15 | ||
Sum | 98 | 205 | 237 | 540 | ||
Average | 19.6 | 41 | 47.4 | 36 | ||
Variance | 25.3 | 37.5 | 131.3 | 206.857143 | ||
Total | ||||||
Count | 25 | 25 | 25 | |||
Sum | 3506 | 4063 | 5102 | |||
Average | 140.24 | 162.52 | 204.08 | |||
Variance | 7042.27333 | 8172.92667 | 14964.4933 | |||
ANOVA | ||||||
Source of Variation | SS | df | MS | F | P-value | F crit |
Zonal Location | 540452.72 | 4 | 135113.18 | 55.0676207 | 2.0312E-19 | 2.5252151 |
Income | 52493.1467 | 2 | 26246.5733 | 10.6972269 | 0.00010634 | 3.15041131 |
Interaction | 36644.72 | 8 | 4580.59 | 1.86689554 | 0.08222561 | 2.09696831 |
Within | 147215.2 | 60 | 2453.58667 | |||
Total | 776805.787 | 74 |
- i. Determine the F-Statistics and P-Value for income, zonal location and interaction between income and zonal location.
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