SUMMARY OUTPUT Regression Statistics 0.8753 Multiple R R Square Adjusted R Square Standard Error 0.7661 0.7271 0.9619 8 Observations ANOVA TABLE FOR REFRESSION SS 18.187 Significance F 0.0044 df MS 18.187 0.925 Regression 1 19.655 Residual 6 5.552 Total 7 23.739 Coefficients Standard Error 65.3843 t Stat 69.6653 P-value 0.9385 Intercept Years of employment 0.2698 0.0609 4.4334 0.0044 a) What is the estimated regression line? b) What is the estimated income for a dentist with 20 years of experience? c) How would you interpret the slope coefficient B1? d) How would you interpret the coefficient of determination? e) Test Ho : B1 = 0 vs. H1 : B1 ± 0 using the t-test.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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SUMMARY OUTPUT
Regression Statistics
0.8753
Multiple R
R Square
Adjusted R Square
Standard Error
0.7661
0.7271
0.9619
Observations
8
ANOVA TABLE FOR REFRESSION
df
MS
18.187
Significance F
0.0044
F
Regression
Residual
1
18.187
19.655
5.552
0.925
Total
7
23.739
Coefficients Standard Error
0.9385
0.0609
t Stat
69.6653
P-value
Intercept
65.3843
Years of employment
0.2698
4.4334
0.0044
a) What is the estimated regression line?
b) What is the estimated income for a dentist with 20 years of experience?
c) How would you interpret the slope coefficient B1?
d) How would you interpret the coefficient of determination?
e) Test Ho : B1 = 0 vs. H1 : B1 # 0 using the t-test.
Transcribed Image Text:SUMMARY OUTPUT Regression Statistics 0.8753 Multiple R R Square Adjusted R Square Standard Error 0.7661 0.7271 0.9619 Observations 8 ANOVA TABLE FOR REFRESSION df MS 18.187 Significance F 0.0044 F Regression Residual 1 18.187 19.655 5.552 0.925 Total 7 23.739 Coefficients Standard Error 0.9385 0.0609 t Stat 69.6653 P-value Intercept 65.3843 Years of employment 0.2698 4.4334 0.0044 a) What is the estimated regression line? b) What is the estimated income for a dentist with 20 years of experience? c) How would you interpret the slope coefficient B1? d) How would you interpret the coefficient of determination? e) Test Ho : B1 = 0 vs. H1 : B1 # 0 using the t-test.
5. You are interested in exploring the relationship between the average income of a dentist
(measured in thousands of dollars) and their working experience (in year). You collect the
following data from eight dentists. Using a computer, you run the simple linear regression
2
analysis of income on length of experience. The regression results are reported below.
Transcribed Image Text:5. You are interested in exploring the relationship between the average income of a dentist (measured in thousands of dollars) and their working experience (in year). You collect the following data from eight dentists. Using a computer, you run the simple linear regression 2 analysis of income on length of experience. The regression results are reported below.
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