A Local Grocery Store Wants to Predict the Daily Sales

question 142

Multiple Choice

A local grocery store wants to predict the daily sales in dollars. The manager believes that the amount of newspaper advertising significantly affects the store sales. The manager randomly selects 7 days of data consisting of daily grocery store sales (in thousands of dollars) and advertising expenditures (in thousands of dollars) . The Excel/Mega-Stat output given below summarizes the results of fitting a simple linear regression model using this data.
Regression Analysis
$\begin{array}{rc}\mathrm{r}^{2} 0.762 & \mathrm{n} 7 \\\mathrm{R} 0.873 & \mathrm{k} \text { 1 } \\\text { Std. Error 11.547 } & \text { Dep. Var. Sales }\end{array}$
ANOVA
table
$\begin{array}{rrrrrr}\hline \text { Source } & S S & d f & M S & F & p \text {-value } \\\hline \text { Regression } & 2,133.3333 & 1 & 2,133.3333 & 16.00 & .0103 \\\text { Residual } & 666.6667 & 5 & 133.3333 & & \\\hline \text { Total } & 2,800.0000 & 6 & & &\\\hline\end{array}$

$\text { Regression output }$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { Confidence interval }$
$\begin{array}{rrrrrrrr}\hline\text { Variables} & \text { Coefficients } & \text { std. error } & t(d f=5) & \text { p-value } & 95 \% &95 \% \text { upper } \\& & & & & \text { lower } & \\\hline \text { Intercep } & 63.3333 & 7.9682 & 7.948 & .0005 & 42.8505 & 83.8162 \\\text { Advertising } & 6.6667 & 1.6667 & 4.000 & .0103 & &\end{array}$
-At a significance level of 0.05,use an F test to test the significance of the slope and state your conclusion.

• A)We reject H₀and conclude there is sufficient evidence that dollars spent on advertising is a significant linear predictor of the grocery store sales.
• B)We failed to reject H₀and conclude there is not sufficient evidence that dollars spent on advertising is a significant linear predictor of the grocery store sales.
• C)We failed to reject H₀and conclude there is sufficient evidence that dollars spent on advertising is a significant linear predictor of the grocery store sales.
• D)We fail to reject H₀and conclude that there is sufficient evidence that grocery store sales in dollars is a significant linear predictor of the dollars spent on advertising.
• E)We reject H₀and conclude that there is not sufficient evidence that dollars spent on advertising is a significant linear predictor of the grocery store sales.

Analyze the evolution of attitudes toward bureaucracy from elite and popular democratic perspectives.

Appreciate the role of expertise in improving bureaucratic efficiency and effectiveness.

Grasp the dynamics of bureaucratic politics and its implications.

Understand the historical context and implications of the spoils system.

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Definitions:

Marginal Revenue Product

The additional revenue generated from using one more unit of a factor of production, holding all other factors constant.

Law of Diminishing Returns

This economic law states that after a certain point, successive increments of a single factor of production yield progressively smaller increases in output.

Competitive Market

A market environment where numerous producers and consumers interact, leading to price competition and variety in products.

Marginal Revenue Product

The additional revenue generated from employing one more unit of a resource, such as labor or capital, in the production process.