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A Local Parent Group Was Concerned with the Increasing Cost

question 33

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A local parent group was concerned with the increasing cost of school for families with school aged children.The parent group was interested in understanding the relationship between the academic grade level for the child and the total costs spent per child per academic year.They performed a multiple regression analysis using total cost as the dependent variable and academic year (x1) as the independent variables.The multiple regression analysis produced the following tables.  Coefficients  Stardard Error t Statistic p-value  Intercept 707.9144435.11831.6269470.114567x12.90330781.628020.0355680.971871x1211.912973.8062113.1298780.003967\begin{array} { | c | c | c | c | c | } \hline & \text { Coefficients } & \text { Stardard Error } & t \text { Statistic } & p \text {-value } \\\hline \text { Intercept } & 707.9144 & 435.1183 & 1.626947 & 0.114567 \\\hline \boldsymbol { x } _ { 1 } & 2.903307 & 81.62802 & 0.035568 & 0.971871 \\\hline \mathbf { x } _ { 1 } { } ^ { 2 } & 11.91297 & 3.806211 & 3.129878 & 0.003967 \\\hline\end{array} df5sMSFp-value  Repression 2320551531602757747.345571.49E09 Residual 279140128338523.3 Total 2941195281\begin{array} { | c | c | c | c | c | c | } \hline & \mathrm { df } & \mathbf { 5 s } & \mathrm { MS } & F & p \text {-value } \\\hline \text { Repression } & 2 & 32055153 & 16027577 & 47.34557 & 1.49 \mathrm { E } - 09 \\\hline \text { Residual } & 27 & 9140128 & \mathbf { 3 3 8 5 2 3 . 3 } & & \\\hline \text { Total } & \mathbf { 2 9 } & 41195281 & & & \\\hline\end{array} The sample size for this analysis is ____________.


Definitions:

Controllable Margin

Controllable Margin refers to the portion of profit or income that can be directly influenced by managerial decisions, excluding fixed costs and uncontrollable factors.

Investment Center

A division or unit within an organization that has control over its revenue, expenses, and invested capital, and is responsible for its profit and investment decisions.

Budgeted Selling Expenses

Estimated costs related to the sale of a company's products or services, planned for a future period.

Flexible Budget

A budget which is responsive and adjusts based on fluctuations in levels of volume or activity.

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