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A sociologist is looking at the relationship between consumption expenditures of families in the United States (Consumption in $), family income (Income in $), and

A sociologist is looking at the relationship between consumption expenditures of families in the United States (Consumption in $), family income (Income in $), and whether or not the family lives in an urban or rural community (Urban = 1 if urban, 0 otherwise). She collects data on 50 families across the United States, a portion of which is shown in the accompanying table.

Click here for the Excel Data File

Estimate: Consumption = 0 + 1Income + . Compute the predicted consumption expenditures of a family with income of $80,000.

Note: Round coefficient estimates to at least 4 decimal places and round final answer to the nearest whole number.

predicted consumption expenditures

Include a dummy variable, labeled Urban, with values 1 for urban and 0 otherwise, to predict consumption for a family with income of $80,000 in urban and rural communities.

Note: Round coefficient estimates to at least 4 decimal places and round final answer to the nearest whole number.

predicted consumption
urban community
rural community

Include a dummy variable Urban and an interaction variable (Income Urban) to predict consumption for a family with income of $80,000 in urban and rural communities.

Note: Round coefficient estimates to at least 4 decimal places and round final answer to the nearest whole number.

predicted consumption
urban community
rural community

Which of the preceding models is most suitable for the data?

since it has the
Consumption Income Urban
62315 87691 0
60292 94877 1
70279 106198 0
43162 60803 0
26064 51081 0
52456 89260 1
45794 62943 1
59211 72039 1
45998 64531 0
60220 98138 1
36703 69673 1
62721 88939 1
54191 87779 1
49043 68009 0
54841 91448 1
66433 112485 0
65178 86375 0
64769 99925 1
63929 105296 1
76162 95749 1
79831 103376 1
39358 52734 0
33748 63846 0
52290 74086 1
58764 75181 0
71797 94634 1
59008 97500 1
70065 81509 1
63240 84914 0
42720 102620 0
59099 85600 1
29474 48938 0
57915 71749 1
58405 53915 0
19680 40110 0
53839 76121 0
66243 97574 1
64481 134586 1
59689 85678 1
27908 55551 0
52161 78882 1
64499 87167 0
26108 66766 0
71624 114805 0
31959 62087 0
69134 123242 1
24022 54491 0
54212 102687 1
49069 90344 0
59260 100937 1

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