intercept the meaning of regression coefficent of independent variable?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 10CT
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intercept the meaning of regression coefficent of independent variable?

SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
0.959
0.919
Adjusted R Square
0.909
Standard Error
3.756
Observations
10.000
ANOVA
df
SS
MS
F
Significance F
Regression
1.000
1,285.245
1,285.245
91.105
0.000
Residual
8.000
112.858
14.107
Total
9.000
1,398.103
Coefficients itandard Erroi
7.995
t Stat
P-value
Lower 95% Upper 95% Lower 95.0% Upper 95.0%
(1.591)
Intercept
4.157
1.923
0.091
17.581
(1.591)
17.581
Years in College
12.675
1.328
9.545
0.000
9.613
15.737
9.613
15.737
Transcribed Image Text:SUMMARY OUTPUT Regression Statistics Multiple R R Square 0.959 0.919 Adjusted R Square 0.909 Standard Error 3.756 Observations 10.000 ANOVA df SS MS F Significance F Regression 1.000 1,285.245 1,285.245 91.105 0.000 Residual 8.000 112.858 14.107 Total 9.000 1,398.103 Coefficients itandard Erroi 7.995 t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% (1.591) Intercept 4.157 1.923 0.091 17.581 (1.591) 17.581 Years in College 12.675 1.328 9.545 0.000 9.613 15.737 9.613 15.737
The following sample data contains the number of years of college and the current annual salary for a random sample of heavy equipment salespeople. A researcher believes that spending more years in college
leads to higher annual income. (80 points)
Annual Income
Years in College
(In Thousands)
31.2
2
35.9
2
39.0
54.6
4
43.7
3
28.1
57.7
4
46.8
62.4
4.
60.8
4
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square
0.959
0.919
0.909
Standard Error
3.756
Observations
10.000
Transcribed Image Text:The following sample data contains the number of years of college and the current annual salary for a random sample of heavy equipment salespeople. A researcher believes that spending more years in college leads to higher annual income. (80 points) Annual Income Years in College (In Thousands) 31.2 2 35.9 2 39.0 54.6 4 43.7 3 28.1 57.7 4 46.8 62.4 4. 60.8 4 SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square 0.959 0.919 0.909 Standard Error 3.756 Observations 10.000
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