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# Regression Questions in Housing

1. Taxes (Y) | Age (X)
925 | 1
870 | 2
809 | 4
720 | 4
694 | 5
630 | 8
626 | 10
562 | 10
546 | 12
523 | 15
480 | 20
486 | 22
462 | 25
441 | 25
426 | 30
368 | 35
350 | 40
348 | 50
322 | 50

Is there a quadratic relationship between the age of a single-family house (X) and county taxes (Y)?

a) Yes, there is.
b) No, there is not.
c) It is inconclusive.

2.
Price | Rooms | Neighborhood
109.6 | 7 | 0 | east
107.4 | 8 | 0 | east
140.3 | 9 | 0 | east
146.5 | 12 | 0 | east
98.2 | 6 | 0 | east
137.8 | 9 | 0 | east
124.1 | 10 | 0 | east
113.2 | 8 | 0 | east
127.8 | 9 | 0 | east
125.3 | 8 | 0 | east
108.5 | 6 | 1 | west
181.3 | 13 | 1 | west
137.4 | 10 | 1 | west
146.2 | 10 | 1 | west
142.4 | 9 | 1 | west
123.7 | 8 | 1 | west
129.6 | 8 | 1 | west
143.6 | 9 | 1 | west
160.7 | 11 | 1 | west
148.3 | 9 | 1 | west

A real estate association in a suburban community would like to study the relationship between the size of a single-family house (as measured by the number of rooms) and the selling price of the house(in thousands of dollars). The study is to be carried out into different neighborhoods, one on the east side (= 0) of the community and the other on the west side (= 1). A random sample of 20 houses was selected with the results above.

Describe the linear regression equation.

a) Y^ = 43.737 + 9.219X1
b) Y^ = 43.737 +12.697X2
c) Y^ = 43.737 + 9.219X1 + 12.697X2.

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