Question

How much does household weekly income affect the household weekly expenditure on food? The following data...

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,

a

0.6019

b

0.5234

c

0.4606

d

0.4053

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,

a

0.0455

b

0.0380

c

0.0316

d

0.0264

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