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

question 110

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
$\begin{array} { l l l } & d f & S S \\ \text { Regression } & 2 & 562.363 \\ \text { Residual } & 9 & 225.326 \end{array}$
Total ​ $\begin{array}{lcc}& \text { Coefficients } & \text { Standara Error } \\\text { Intercept } & -15.0621 & \\\mathrm{x}_{1} & 0.0972 & 0.054 \\\mathrm{x}_{2}& 0.2484 & 0.092\end{array}$ ​
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?

---

Definitions:

Lower Orders

Refers to people of lower social, economic, or political status in a given society, often used historically.

Colonies-Turned-States

Refers to former colonies that transitioned into becoming states, particularly in contexts like the United States where British colonies gained independence and statehood.

Postwar State Constitutions

Constitutions adopted by states in the aftermath of a war, reflecting the social, political, and economic changes brought about by the conflict.

Two-House Legislature

A bicameral legislative system divided into two separate assemblies, chambers, or houses, responsible for making laws.