You Run a Regression Analysis and Receive the Following Results

question 76

Multiple Choice

You run a regression analysis and receive the following results:
SUMMARY OUTPUT
$\begin{array}{l}\begin{array} { l r } \hline{ \text { Regression Statistics } } \\\hline \text { Multiple R } & 0.88000000 \\\text { R Square } & 0.78219168 \\\text { Adjusted R Square } & 0.70958891 \\\text { Standard Error } & 1165.19000 \\\text { Observations } & 5 \\\hline\end{array}\\\\\begin{array} { l c r c c r } \hline & d f & S S & M S & F & \text { Significance } F \\\hline \text { Regression } & 1 & 14626984.4 & 1 \mathrm { E } + 07 & 10.7736 & 0.0463451 \\\text { Residual } & 3 & 4073015.604 & 1 \mathrm { E } + 06 & & \\\text { Total } & 4 & 18700000 & & & \\\hline\end{array}\\\\\begin{array} { l r r r c } \hline & \text { Coefficients } & \text { Standard Error } & t \text { Stat } & P \text {-value } \\\hline \text { Intercept } & 16146.37 & 8167.49 & 1.977 & 0.14249 \\\text { X Variable 1 } & 2.380 & 0.730 & 3.282 & 0.04635 \\\hline\end{array}\end{array}$
-To the nearest dollar,what would be the estimated total costs if 3000 units were produced?

• A) $23 286
• B) $16 146
• C) $10 357
• D) $33 643

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Definitions:

Variable Expenses

Costs that fluctuate with changes in production volume or business activity levels, such as raw materials and direct labor.

Fixed Expenses

Costs that do not change with the level of output or sales in the short term, such as rent, salaries, and insurance.

Break-even Point

The juncture where the sum of all costs matches the total income, leading to neither a profit nor a loss.

Contribution Margin Ratio

A financial ratio that measures the proportion of revenue remaining after variable costs have been deducted, indicating how much contributes to covering fixed costs and generating profit.