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A Local Grocery Store Wants to Predict the Daily Sales

question 16

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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 is the value of the coefficient of determination?


Definitions:

Performance

The action or process of carrying out or accomplishing an action, task, or function.

Public Sector

The part of the economy that is owned and operated by the government, offering services to the public rather than seeking profit.

Evolution

The process through which organisms change over time as a result of changes in heritable physical or behavioral traits.

Organizational Context

describes the environmental, cultural, and structural factors that impact how an organization operates.

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