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Managers in the Priming Department Have Been Studying Overhead Cost

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Managers in the Priming Department have been studying overhead cost and the relationship with machine hours. Data from the most recent 12 months follow.  Month  Overhead  Machine  Hours  January $5,1302,830 February 1,700700 March 7,3103,503 April 4,6602,300 May 6,9803,511 June 6,6202,686 July 6,3303,464 August 5,6702,511 September 7,8284,060 October 5,9102,997 November 4,6802,307 December 6,1102,964\begin{array}{lcr}\underline{\text { Month }} & \underline{\text { Overhead } }& \text { Machine } \\&&\underline{\text { Hours }}\\\text { January } & \$ 5,130 & 2,830 \\\text { February } & 1,700 & 700 \\\text { March } & 7,310 & 3,503 \\\text { April } & 4,660 & 2,300 \\\text { May } & 6,980 & 3,511 \\\text { June } & 6,620 & 2,686 \\\text { July } & 6,330 & 3,464 \\\text { August } & 5,670 & 2,511 \\\text { September } & 7,828 & 4,060 \\\text { October } & 5,910 & 2,997 \\\text { November } & 4,680 & 2,307 \\\text { December } & 6,110 & 2,964\end{array} The manager of the department has requested a regression analysis of these two variables (labeled No. 1 below). However, the staff person performing the analysis decided to run another regression that excluded February (labeled No. 2). She observed that the volume of activity was very low for that month because of two factors: a severe flu outbreak and an electrical fire that disrupted operations for about 10 working days. \quad \quad Regression No. 1\text { Regression No. } 1 \quad \quad \quad \quad  Regression No. 2\text { Regression No. } 2
 Constant 428.00 Constant 550.00R20.79R20.74 b coefficient 1.86 b coefficient 1.90\begin{array} { l r l l r } \text { Constant } & 428.00 & & \text { Constant } & 550.00 \\\mathrm { R } ^ { 2 } & 0.79 & & \mathrm { R } ^ { 2 } & 0.74 \\\mathrm {~b} \text { coefficient } & 1.86 & & \mathrm {~b} \text { coefficient } & 1.90\end{array} Required:
A. Prepare an overhead cost breakdown by using the high-low method. The analysis should be useful in helping to predict variable and fixed costs under normal operating conditions.
B. Prepare an estimate of overhead cost for a volume of 3,100 machine hours by using regression no. 1.
C. You now have the ability to analyze three cost estimates from the high-low data in part (a) and the two regression equations. Which one do you feel would provide the best estimate? Explain the factors that support your choice. Note: Do not calculate an overhead cost estimate with regression no. 2.


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