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Exemplar for the Regression Problems Required for
Homework #10
12.13.
For
n
= 7 sampled tax payers, given data for their total adjusted gross
income and amount of itemized deductions, both in thousands of
dollars.
Let x denote the independent variable of total adjusted gross income
and let y denote the amount of itemized deductions, both in thousands
of dollars.
x
y
22
9.6
27
9.6
32
10.1
48
11.1
65
13.5
85
17.7
120
25.5
a. Graph of the
n
= 7 sample data.
There appears to be an increasing linear relationship between total
adjusted gross income and the amount of itemized deductions.
HW #10 regression exemplar
1
© 2010 Harvey Singer
0.0
5.0
10.0
15.0
20.0
25.0
30.0
0.0
20.0
40.0
60.0
80.0
100.0
120.0
140.0
x
y
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View Full DocumentThe trend is increasing, meaning that y generally increases as x
increases.
Therefore, anticipate that the slope b
1
of the line will be
positive.
b. Calculations:
Calcs
x
y
x^2
xy
y^2
22
9.6
484
211.200
92.160
27
9.6
729
259.200
92.160
32
10.1
1024
323.200
102.010
48
11.1
2304
532.800
123.210
65
13.5
4225
877.500
182.250
85
17.7
7225
1504.500
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 Spring '08
 SINGER

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