Use the results obtained to answer the following questions: a.) Determine the least squares regression equation. Interpret the value of ₁. b.) c.) Determine SSE, S² and S. Interpret the value of S. Find a 95% confidence interval for ₁. d.) e.) Estimate the expected salary of an executive with 32 years of experience.
Use the results obtained to answer the following questions: a.) Determine the least squares regression equation. Interpret the value of ₁. b.) c.) Determine SSE, S² and S. Interpret the value of S. Find a 95% confidence interval for ₁. d.) e.) Estimate the expected salary of an executive with 32 years of experience.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...
Related questions
Question
![QUESTION 3
In an attempt to estimate executive salaries, a company observed the salaries and the
years of experience for a sample of 50 executives. After a complete analysis of the
data it was found that the error variance was not constant. To solve the problem, it
was decided to use a multiplicative model to estimate the salaries based on years of
experience. The resulting model was of the form
In(v) = Bo + Bxi + E.
and the following results was obtained in matrix notation.
50
906
(X'X) =
y'y = 5783.173014
906
19304
537.34631
(X'y) =
9881.01553]
Use the results obtained to answer the following questions:
a.) Determine the least squares regression equation.
b.) Interpret the valhue of §, .
c.) Determine SSE, S° and S. Interpret the value of S.
d.) Find a 95% confidence interval for ß1.
e.) Estimate the expected salary of an executive with 32 years of experience.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdead8ce3-beeb-4259-a768-228590e4ae28%2F73c3a035-eb63-467c-8ec5-efd1a48d91c9%2Fa636nqy_processed.png&w=3840&q=75)
Transcribed Image Text:QUESTION 3
In an attempt to estimate executive salaries, a company observed the salaries and the
years of experience for a sample of 50 executives. After a complete analysis of the
data it was found that the error variance was not constant. To solve the problem, it
was decided to use a multiplicative model to estimate the salaries based on years of
experience. The resulting model was of the form
In(v) = Bo + Bxi + E.
and the following results was obtained in matrix notation.
50
906
(X'X) =
y'y = 5783.173014
906
19304
537.34631
(X'y) =
9881.01553]
Use the results obtained to answer the following questions:
a.) Determine the least squares regression equation.
b.) Interpret the valhue of §, .
c.) Determine SSE, S° and S. Interpret the value of S.
d.) Find a 95% confidence interval for ß1.
e.) Estimate the expected salary of an executive with 32 years of experience.
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