Question

In: Statistics and Probability

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

18

The estimated regression predicts that the weekly food expenditure rises by _______ for each additional dollar of weekly income.

a

0.1073

10.7

b

0.1192

11.9

c

0.1324

13.2

d

0.1457

14.6

19

The predicted expenditure on food for a household with $1,000 weekly income is,

a

176.8

b

182.1

c

187.5

d

193.2

20

SSE = ______

a

117507.13

b

116343.69

c

115191.77

d

114051.26

21

SSR = _________

a

125228.74

b

120219.59

c

115410.80

d

110794.37

22

The measure of closeness of fit, or measure of dispersion of observed expenditure on food around the regression line is,

a

66.28

b

67.63

c

69.01

d

70.42

Solutions

Expert Solution

Q18) The estimated regression predicts that the weekly food expenditure rises by 0.1324 for each additional dollar of weekly income. (c) is correct

Q19) The predicted expenditure on food for a household with $1,000 weekly income is  176.8 . (a) is correct

Q20) SSE = 114051.26 . (d) is correct

Q21)  SSR = 125228.74 (a) is correct

Q22)  The measure of closeness of fit, or measure of dispersion of observed expenditure on food around the regression line is, 70.42 (d) is correct

For any query in above, comment.

EXCEL Output


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