Based on the given multiple regression output tables below, answer the

balff1t 2021-11-22 Answered

Based on the given multiple regression output tables below, answer the following questions:
Model Summary
\(\begin{array}{|c|c|}\hline Model & R & R \ Square & Adjusted \ R \ Square & Std. \ Error \ of \ the \ Estimate & Durbin-Watson \\ \hline 1 & .842 & .710 & .630 & 109.430 & 1.158 \\ \hline \end{array}\)
ANOVA
\(\begin{array}{|c|c|}\hline Model & Sum \ of \ Squares & df & Mean \ Square & F & Sig. \\ \hline \ \ \ Regression & 321946.82 & 3 & 107315.6 & 8.96 & 0.0027 \\ Residual & 131723.20 & 11 & 11974.8 & & \\ Total & 453670.00 & 14 & & & \\ \hline \end{array}\)
Coefficients
\(\begin{array}{|c|c|}\hline & Unstandardized \ Coefficients & & Standardized \ Coefficients & & \\ \hline Model & B & Std. \ Error & Beta & t & Sig. \\ \hline 1 \ (Constant) & 657.053 & 167.46 & & 3.92 & .0024 \\ X \ Variable \ 1 & 5.7103 & 1.792 & -.101 & 3.19 & .0087 \\ X \ Variable \ 2 & -0.4169 & 0.322 & -.077 & -1.29 & .2222 \\ X \ Variable \ 3 & -3.4715 & 1.443 & -7.996 & -2.41 & .0349 \\ \hline \end{array}\)
(a) State the predictors available in this model.
(b) Determine the multiple regression model for this analysis.

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Expert Answer

Clara Clark
Answered 2021-11-23 Author has 71 answers
Step 1
Multiple Regression Model is a model in which two or more independent variables are used to predict dependent or response variable.
Step 2
a) Predictors of multiple regression model are as follows:
- X Variable 1
- X Variable 2
- X Variable 3
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Witionsion
Answered 2021-11-24 Author has 1860 answers
b) Multiple regression model for the given analysis is:
\(\displaystyle{y}=\beta_{{{0}}}+\beta_{{{1}}}{x}_{{{1}}}+\beta_{{{2}}}{x}_{{{2}}}+\ldots\ \ldots+\beta_{{{n}}}{x}_{{{n}}}\)
\(\displaystyle{y}={657.053}+\beta_{{{1}}}{x}_{{{1}}}+\beta_{{{2}}}{x}_{{{2}}}+\ldots\ \ldots+\beta_{{{n}}}{x}_{{{n}}}\)
\(\displaystyle={657.053}+{5.7103}{x}_{{{1}}}-{0.4169}{x}_{{{2}}}-{3.4715}{x}_{{{3}}}\)
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