Multiple regression
Recall that in Exercise 45 the personnel director for
Electronics Associates developed the following estimated
regression equation relating an employee's score on a job
satisfaction test to length of service and wage rate.
Y = 14.4 minus 8.69 x1 minus 13.5 x2
Where
X1 = length of service in years
X2 = wage rate in dollars
Y= job satisfaction test score (higher scores indicate greater job satisfaction)
A portion of the Minitab computer output follows.
Predictor Coef StDev t-ratio
Constant 14.448 8.191 1.76
X1 1.555
X2 13.517 2.085
S = 3.773 R-sq ______% R-sq (adj) = __%
Analysis of Variance
Source DF SS MS F
Regression 2 ____ ____ ____
Error ____ 71.17 _____ ____
Total 7 720.0
a. Complete the missing entries in this output.
b. Compute F and test using level of significance = .05 to see whether a
significant relationship is present.
c. Did the estimated regression equation provide a good fit
to the dataemployees Explain.
d Use the t test and level of signficance =.05 to test H0: b1 = 0.
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- 6150.xls
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