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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

Shown Below Is a Partial Computer Output from a Regression