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Balcom Enterprises Is Planning to Introduce a New Product That

question 14

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Balcom Enterprises is planning to introduce a new product that will sell for $110 per unit. Manufacturing cost estimates for 20,000 units for the first year of production are:
? Direct materials $1,000,000.
? Direct labor $720,000 (based on $18 per hour × 40,000 hours) .
Although overhead has not be estimated for the new product, monthly data for Balcom's total production for the last two years has been analyzed using simple linear regression. The analysis results are as follows:
Dependent variableFactory overhead costsIndependent variableDirect labor hours Intercept $120,000 Coefficient on independent variable $5.00 Coefficient of correlation 0.911 R 20.814\begin{array}{lrr}\text {Dependent variable}&\text {Factory overhead costs}\\\text {Independent variable}&\text {Direct labor hours}\\\text { Intercept } & \$ 120,000 \\\text { Coefficient on independent variable } & \$ 5.00 \\\text { Coefficient of correlation } & 0.911 \\\text { R }^2 & 0.814\end{array}

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Based on this information, what percentage of the variation in overhead costs is explained by the independent variable?


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