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Significant test for slope

The personnel director from 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.

= 14.4 - 8.69x₁ + 13.52x₂

where
x₁ = length of service (years)
x₂ = wage rate (dollars)
y = job satisfaction test score (higher score indicate greater job satisfaction)

A portion of the Minitab computer output follows. The regression equation is
Y = 14.4 - 8.69 X1 + 13.52 X2

Predictor	Coef	SE Coef	T
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
Residual Error		71.17
Total	7	720.0

a. Complete the missing entries in this output (to 2 decimals).
Estimated Regression Equation

Predictor	Coefficient	SE Coefficient	T
Constant	14.448	8.191	1.76
X1		1.555
X2	13.517	2.085

R²_____ %
Analysis of Variance

Source	DF	SS	MS	F
Regression	2		324.415	22.79
Residual Error	5	71.17	14.234
Total	7	720.0

b. Using α = .05, is a significant relationship present?

c. Did the estimated regression equation provide a good fit to the data?

d. Using the t test and α = .05 to test H₀: β₁ = 0 and β₂ = 0
Compute the t test statistic for β₁ (to 2 decimals).
What is your conclusion?
Compute the t test statistic for β₂ (to 2 decimals).
What is your conclusion?

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Solution Attachment

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