Data on income (in thousands of dollars), education (years), experience (years), and age (years) for twenty people are shown here

MATLAB: An Introduction with Applications
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Data on income (in thousands of dollars), education (years), experience (years), and age (years) for twenty people are shown here;

Job
Person
Income
Age
Education
Experience
1
5.0
29
2
9.7
36
18
3
28.4
41
8.
21
4
8.8
30
8
12
5
21.0
34
8
14
6
26.6
36
10
16
7
25.4
61
12
16
23.1
29
12
9
9
22.5
54
12
18
10
19.5
30
12
5
11
21.7
28
12
7
12
24.8
29
13
13
30.1
35
14
12
14
24.8
59
14
17
15
28.5
65
15
19
16
26.0
30
15
6
17
38.9
40
16
17
22.1:
23
16
1
10
18
19
33.1
58
17
20
48.3
60
21
17
a. Use multiple regression analysis to estimate income as a linear function of age.
Write the equation, 1-statistics, and the coefficient of determination. Provide
an explanation for the sign of the age coefficient.
b. Use regression analysis to estimate income as a linear function of education,
job experience, and age. Write the equation, t-statistics, and the coefficient of
determination. How do the results of part (b) explain the results from part (a)? E
c. Use the results from part (b) to estimate income-of a typical person who has
14 years of education, has 10 years of job experience, and is 45 years of age.
24
Transcribed Image Text:Job Person Income Age Education Experience 1 5.0 29 2 9.7 36 18 3 28.4 41 8. 21 4 8.8 30 8 12 5 21.0 34 8 14 6 26.6 36 10 16 7 25.4 61 12 16 23.1 29 12 9 9 22.5 54 12 18 10 19.5 30 12 5 11 21.7 28 12 7 12 24.8 29 13 13 30.1 35 14 12 14 24.8 59 14 17 15 28.5 65 15 19 16 26.0 30 15 6 17 38.9 40 16 17 22.1: 23 16 1 10 18 19 33.1 58 17 20 48.3 60 21 17 a. Use multiple regression analysis to estimate income as a linear function of age. Write the equation, 1-statistics, and the coefficient of determination. Provide an explanation for the sign of the age coefficient. b. Use regression analysis to estimate income as a linear function of education, job experience, and age. Write the equation, t-statistics, and the coefficient of determination. How do the results of part (b) explain the results from part (a)? E c. Use the results from part (b) to estimate income-of a typical person who has 14 years of education, has 10 years of job experience, and is 45 years of age. 24
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