Shown Below Is a Partial Computer Output from a Regression

question 57

Essay

Shown below is a partial computer output from a regression analysis. $\begin{array}{lll} & \text { Coefficients } & \text { Standard Etror } \\\text { Constant } & 10.00 & 2.00 \\\mathrm{x}_{1} & -2.00 & 1.50 \\\mathrm{x}_{2} & 6.00 & 2.00 \\\mathrm{x}_{3} & -4.00 & 1.00\end{array}$
ANOVA
$\begin{array}{lllll} & d f & S S & M S&F \\\text { Regression } & & 60 & \\\text { Error }\\\text { Total } & 19 & 140\end{array}$ ​
a.
Use the above results and write the regression equation.
b.
Compute the multiple coefficient of determination and fully interpret its meaning.
c.
At α = .05, test to see if there is a relation between x₁ and y.
d.
At α = .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 = .05.

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Definitions:

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The status of being a citizen of the United States, entailing certain rights, duties, and privileges as outlined by the U.S. Constitution and laws.