Data is collected on teacher salary (measured in 1000’s of $’s) and years of service, rating by the administrator, and whether the teacher has a master's degree (=1) or not (=0) e) Are any of the explanatory (independent) variables significant at the 10% level of significance? How do you know? f) What is the predicted value of income for a teacher that does not have a master's degree, has 14 years of service, and has a rating of 3.5? g) What is the effect on the income of a teacher receiving their master's degree?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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6) Data is collected on teacher salary (measured in 1000’s of $’s) and years of service, rating by the administrator, and whether the teacher has a master's degree (=1) or not (=0) e) Are any of the explanatory (independent) variables significant at the 10% level of significance? How do you know? f) What is the predicted value of income for a teacher that does not have a master's degree, has 14 years of service, and has a rating of 3.5? g) What is the effect on the income of a teacher receiving their master's degree?
6) Data are collected on teacher salary (measured in 1000's of $'s) and years of service,
rating by the administrator, and whether the teacher has a masters degree (-1) or not
(=0)
a) Complete the following table
SUMMARY
OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
0.953
20
ANOVA
df
SS
MS
Significance F
1.62311E-08
F
Regression
Residual
Total
903.2
301.1
52.7
91.4
5.7
Coefficients Standard Error
P-value
Lower 95% Upper 95%
Intercept
Years
9.915
1.916
0.000
0.899
0.154
0.088
0.000
Rating
Masters
0.031
0.000
-0.667
1.214
0,590
Transcribed Image Text:6) Data are collected on teacher salary (measured in 1000's of $'s) and years of service, rating by the administrator, and whether the teacher has a masters degree (-1) or not (=0) a) Complete the following table SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.953 20 ANOVA df SS MS Significance F 1.62311E-08 F Regression Residual Total 903.2 301.1 52.7 91.4 5.7 Coefficients Standard Error P-value Lower 95% Upper 95% Intercept Years 9.915 1.916 0.000 0.899 0.154 0.088 0.000 Rating Masters 0.031 0.000 -0.667 1.214 0,590
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