Explain the meaning of the coefficient of gender (how does gender affect salary?). Does this variable have a significant impact on income level at α= .05? How do you get this conclusion?   If a female salesperson told you that she has a 2-year college degree, what is your prediction on her annual income?

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
Section11.4: Two-ways Tables
Problem 12E
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Explain the meaning of the coefficient of gender (how does gender affect salary?). Does this variable have a significant impact on income level at α= .05? How do you get this conclusion?  

If a female salesperson told you that she has a 2-year college degree, what is your prediction on her annual income?

SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R S
Standard Er
0.920
0.847
0.803
4.610
Observations
10.000
ANOVA
df
SS
MS
F
Significance F
Regression
2.000
823.223
411.612
19.366
0.001
Residual
7.000
148.777
21.254
Total
9.000
972.000
Upper 95% Lower 95.0% Upper 95.0%
(10.434)
Coefficients Standard Erroi
t Stat
P-value
Lower 95%
Intercept
1.983
5.251
0.378
0.717
(10.434)
14.401
14.401
Years in Coll
7.851
1.452
5.408
0.001
4.418
11.284
4.418
11.284
gender
8.512
2.978
2.858
0.024
1.470
15.555
1.470
15.555
Transcribed Image Text:SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R S Standard Er 0.920 0.847 0.803 4.610 Observations 10.000 ANOVA df SS MS F Significance F Regression 2.000 823.223 411.612 19.366 0.001 Residual 7.000 148.777 21.254 Total 9.000 972.000 Upper 95% Lower 95.0% Upper 95.0% (10.434) Coefficients Standard Erroi t Stat P-value Lower 95% Intercept 1.983 5.251 0.378 0.717 (10.434) 14.401 14.401 Years in Coll 7.851 1.452 5.408 0.001 4.418 11.284 4.418 11.284 gender 8.512 2.978 2.858 0.024 1.470 15.555 1.470 15.555
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