Shown Below Is a Partial Computer Output from a Regression

question 19

Essay

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.

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Definitions:

Concerted Action

A coordinated effort or strategy among individuals or entities aimed at achieving a particular goal, often in a legal or industrial context.

Federal Trade Commission

An independent agency of the United States government, aimed at preventing anticompetitive, deceptive, and unfair business practices.

Sherman Act

A foundational antitrust law in the United States, aimed at promoting fair competition and prohibiting monopolies.

Unfair Methods

Practices in trade or business that are deemed deceptive, fraudulent, or against the competition law, harming consumers or competitors.