How much does household weekly income affect the household weekly expenditure on food? | ||||||||
The following data shows household weekly expenditure on food and the household weekly income (all in dollars). |
Use the data below to develop an estimated regression equation that could be used to predict food expenditure for a weekly income. |
Use Excel commands for your calculations. |
FOOD | INCOME |
y | x |
91 | 292 |
148 | 479 |
107 | 428 |
146 | 766 |
243 | 1621 |
312 | 1661 |
243 | 1292 |
272 | 1683 |
349 | 1808 |
223 | 1147 |
205 | 1648 |
182 | 1351 |
414 | 1919 |
291 | 2046 |
212 | 1577 |
298 | 1805 |
374 | 2031 |
141 | 1618 |
205 | 1999 |
387 | 1953 |
426 | 2114 |
136 | 1606 |
273 | 1833 |
400 | 2166 |
192 | 2124 |
23 |
The fraction of variations in weekly expenditure on food explained by weekly income is, |
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a |
0.6019 |
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b |
0.5234 |
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c |
0.4606 |
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d |
0.4053 |
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24 |
The weekly food expenditure and income figures above are data from a sample of 25 households selected from the population of all households to compute b₁ as an estimate of the population slope parameter β₁. The sample statistic b₁ is the estimator of the population parameter β₁. The standard error of the sample statistic b₁ is, |
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a |
0.0455 |
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b |
0.0380 |
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c |
0.0316 |
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d |
0.0264 |
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