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The Following Results Were Obtained from a Multiple Regression Analysis dfSS Regression 2562.363 Residual 9225.326\begin{array} { l l l } & d f & S S \\ \text { Regression } & 2 & 562.363 \\ \text { Residual } & 9 & 225.326 \end{array}

Question 82

Essay

The following results were obtained from a multiple regression analysis of supermarket profitability.The dependent variable, y, is the profit (in thousands of dollars) and the independent variables, x1 and x2, are the food sales and nonfood sales (also in thousands of dollars). ANOVA
dfSS Regression 2562.363 Residual 9225.326\begin{array} { l l l } & d f & S S \\ \text { Regression } & 2 & 562.363 \\ \text { Residual } & 9 & 225.326 \end{array}
Total ​  Coefficients  Standara Error  Intercept 15.0621x10.09720.054x20.24840.092\begin{array}{lcc}& \text { Coefficients } & \text { Standara Error } \\\text { Intercept } & -15.0621 & \\\mathrm{x}_{1} & 0.0972 & 0.054 \\\mathrm{x}_{2}& 0.2484 & 0.092\end{array}
a.
Write the estimated regression equation for the relationship between the variables.
b.
Compute the multiple coefficient of determination and fully interpret its meaning.
c.
Carry out a test to determine whether y is significantly related to the independent variables. Use a .05 level of significance.
d.
Carry out a test to determine if there is a significant relationship between x1 and y. Use a .05 level of significance.
e.
How many supermarkets were used in the sample here?

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a. blured image = -15.0621 + .0972x1 + .2484x2
b.
R2 ...

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