Shown below is a partial Excel output from a regression analysis. ANOVA df SS MS F Regression Â Â 60 Residual Total 19 140 Coefficients Standard Error Intercept 10.00 2.00 x1 -2.00 1.50 x2 6.00 2.00 x3 -4.00 1.00 a. Use the above results and...

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Statistics

Shown below is a partial Excel output from a regressionanalysis.
ANOVA
df
SS
MS
F
Regression
Â Â 60
Residual
Total
19
140
Coefficients
Standard Error
Intercept
10.00
2.00
x₁
-2.00
1.50
x₂
6.00
2.00
x₃
-4.00
1.00
a.
Use the above results and write the regression equation. [4Marks]
b.
Compute the coefficient of determination and fully interpret itsmeaning. [4 Marks]
c.
Is the regression model significant? Perform the test at let Î± =0.05. [4 Marks]
d.
At ï¡ = 0.05, test to see if there is a relation betweenx₁ and y. [4 Marks]
e.
At ï¡ = 0.05, test to see if there is a relation betweenx₃ and y. [4 Marks]

Answer & Explanation Solved by verified expert

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using Given outputa Use the above results and write the regression equationy 1000200x1600x2400x3bwe define the coefficient of determination byso here we need to complete the Anova tabledfSSMSFRegression60ResidualTotal19140here we use following information to fill above tabledf for See Answer

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ANOVA
	df	SS	MS	F
Regression		Â Â 60
Residual
Total	19	140

	Coefficients	Standard Error
Intercept	10.00	2.00
x₁	-2.00	1.50
x₂	6.00	2.00
x₃	-4.00	1.00

a.	Use the above results and write the regression equation. [4Marks]
b.	Compute the coefficient of determination and fully interpret itsmeaning. [4 Marks]
c.	Is the regression model significant? Perform the test at let Î± =0.05. [4 Marks]
d.	At ï¡ = 0.05, test to see if there is a relation betweenx₁ and y. [4 Marks]
e.	At ï¡ = 0.05, test to see if there is a relation betweenx₃ and y. [4 Marks]