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A Local Grocery Store Wants to Predict the Daily Sales

question 19

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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
r20.762n7R0.873k 1  Std. Error 11.547  Dep. Var. Sales \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
 Source SSdfMSFp-value  Regression 2,133.333312,133.333316.00.0103 Residual 666.66675133.3333 Total 2,800.00006\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}

 Regression output \text { Regression output }\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad Confidence interval \text { Confidence interval }
 Variables Coefficients  std. error t(df=5)  p-value 95%95% upper  lower  Intercep 63.33337.96827.948.000542.850583.8162 Advertising 6.66671.66674.000.0103\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}
-What are the limits of the 95% confidence interval for the population slope?


Definitions:

Realized Holding Gains

Gains that are recognized when assets such as investments are actually sold for more than their cost, reflecting actual rather than potential profit.

Inventory Costs

Inventory costs include all expenses related to acquiring, holding, and managing inventory, including purchase costs, storage, and handling.

Cost Flow Assumptions

Assumptions made about how costs flow through inventory accounts that affect the cost of goods sold and ending inventory valuation.

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