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The Hard Rock Mining Company is developing cost formulas for management planning and decision-making purposes. The companys cost analyst has concluded that utilities cost is

The Hard Rock Mining Company is developing cost formulas for management planning and decision-making purposes. The companys cost analyst has concluded that utilities cost is a mixed cost, and he is attempting to find a base that correlates with the cost. The controller has suggested that tons mined might be a good base to use in developing a cost formula. The production superintendent disagrees; she thinks that direct labor-hours would be a better base. The cost analyst has decided to try both bases and has assembled the following information:

Quarter Tons Mined Direct Labor-Hours Utilities Cost
Year 1:
First 28,000 6,300 $ 63,000
Second 18,000 4,300 $ 58,000
Third 33,000 5,300 $ 73,000
Fourth 25,000 7,300 $ 88,000
Year 2:
First 31,000 12,600 $ 133,000
Second 38,000 12,900 $ 138,000
Third 43,000 10,600 $ 98,000
Fourth 41,000 13,600 $ 138,000

2-a. Using direct labor-hours as the independent variable, prepare a scattergraph that plots direct labor-hours on the horizontal axis and utilities cost on the vertical axis.

2-b. Using the least-squares regression method, estimate the variable utilities cost per direct labor-hour and the total fixed utilities cost per quarter. Express these estimates in the form Y = a + bX. (Round the Variable cost to 2 decimal places and Fixed Cost to the nearest whole dollar amount.)

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