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Clough Company Is Interested in Establishing the Relationship Between Utility

question 56

Essay

Clough Company is interested in establishing the relationship between utility costs and machine hours.Data have been collected and a regression analysis prepared using Excel.The monthly data and the regression output follow:
 Month  Machine  Electricity  Hours  Costs  January 3,25022,080 February 3,77025,200 March 2,47016,200 April 4,03027,600 May 4,94033,900 June 4,29026,400 July 5,33029,700 August 4,56027,300 September 2,60018,600 October 4,81031,200 Nowember 6,11037,200 December 5,46033,300\begin{array}{|l|r|r|}\hline \text { Month } & \text { Machine } & \text { Electricity } \\& \text { Hours } & \text { Costs } \\\hline \text { January } & 3,250 & 22,080 \\\hline \text { February } & 3,770 & 25,200 \\\hline \text { March } & 2,470 & 16,200 \\\hline \text { April } & 4,030 & 27,600 \\\hline \text { May } & 4,940 & 33,900 \\\hline \text { June } & 4,290 & 26,400 \\\hline \text { July } & 5,330 & 29,700 \\\hline \text { August } & 4,560 & 27,300 \\\hline \text { September } & 2,600 & 18,600 \\\hline \text { October } & 4,810 & 31,200 \\\hline \text { Nowember } & 6,110 & 37,200 \\\hline \text { December } & 5,460 & 33,300 \\\hline\end{array}

Required:
(a. )What is the equation for utility costs using the high-low method?
(b. )Prepare an estimate of utility costs for a month when 3,000 machine hours are worked.


Definitions:

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Excision of a small piece of tissue for microscopic examination.

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A type of cord made from the natural fibers of an animal's intestines, traditionally used as material for surgical sutures.

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