Shown below is a partial computer output from a regression analysis.
Coefficient Standard Error
Constant 10.00 2.00
X1 -2.00 1.50
X2 6.00 2.00
X3 -4.00 1.00
Analysis of Variance
Source of Variation
Degrees of Freedom
Sum of Squares
Mean
Square F
Regression 60
Error
Total 19 140
a. Use the above results and write the regression equation.
b. Compute the coefficient of determination and fully interpret its meaning.
c. At α = 0.05, test to see if there is a relation between X1 and Y.
d. At α = 0.05, test to see if there is a relation between X3 and Y.
e. Is the regression model significant? Perform an F test and let α = 0.05.

Question

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The Answer of Shown below is a partial computer output from a regression analysis.
Coefficient Standard Error
Constant 10.00 2.00
X1 -2.00 1.50
X2 6.00 2.00
X3 -4.00 1.00
Analysis of Variance
Source of Variation
Degrees of Freedom
Sum of Squares
Mean
Square F
Regression 60
Error
Total 19 140
a. Use the above results and write the regression equation.
b. Compute the coefficient of determination and fully interpret its meaning.
c. At α = 0.05, test to see if there is a relation between X1 and Y.
d. At α = 0.05, test to see if there is a relation between X3 and Y.
e. Is the regression model significant? Perform an F test and let α = 0.05.

Shown Below Is a Partial Computer Output from a Regression