In: Statistics and Probability
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. |
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a |
0.1073 |
10.7 |
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b |
0.1192 |
11.9 |
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c |
0.1324 |
13.2 |
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d |
0.1457 |
14.6 |
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19 |
The predicted expenditure on food for a household with $1,000 weekly income is, |
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a |
176.8 |
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b |
182.1 |
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c |
187.5 |
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d |
193.2 |
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20 |
SSE = ______ |
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a |
117507.13 |
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b |
116343.69 |
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c |
115191.77 |
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d |
114051.26 |
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21 |
SSR = _________ |
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a |
125228.74 |
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b |
120219.59 |
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c |
115410.80 |
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d |
110794.37 |
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22 |
The measure of closeness of fit, or measure of dispersion of observed expenditure on food around the regression line is, |
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a |
66.28 |
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b |
67.63 |
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c |
69.01 |
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d |
70.42 |
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