A manager at a local bank analyzed the relationship between monthly salary (y, in $) and length of service (x, measured in months) for 30 employees. She estimates the model: Salary = β0 + β1 Service + ε. The following
A manager at a local bank analyzed the relationship between monthly salary (y, in $) and length of service (x, measured in months) for 30 employees. She estimates the model: Salary = β0 + β1 Service + ε. The following
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A manager at a local bank analyzed the relationship between monthly salary (y, in $) and length of service (x, measured in months) for 30 employees. She estimates the model:
Salary = β0 + β1 Service + ε. The following ANOVA table summarizes a portion of the regression results.
df | SS | MS | F | |
Regression | 1 | 555,420 | 555,420 | 7.64 |
---|---|---|---|---|
Residual | 27 | 1,962,873 | 72,699 | |
Total | 28 | 2,518,293 | ||
Coefficients | Standard Error | t-stat | p-value | |
Intercept | 784.92 | 322.25 | 2.44 | 0.02 |
Service | 9.19 | 3.20 | 2.87 | 0.01 |
How much of the variation in Salary is unexplained by the sample regression equation?
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