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Thane Company is interested in establishing the relationship between electricity costs and machine hours. Data have been collected and a regression analysis prepared using Excel.
Thane Company is interested in establishing the relationship between electricity 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 Hours | Electricity Costs | ||
January | 3,200 | $ | 18,750 | |
February | 3,600 | $ | 21,700 | |
March | 2,600 | $ | 13,850 | |
April | 3,800 | $ | 23,700 | |
May | 4,500 | $ | 28,600 | |
June | 4,000 | $ | 22,700 | |
July | 5,200 | $ | 25,100 | |
August | 4,200 | $ | 23,100 | |
September | 2,700 | $ | 16,200 | |
October | 4,400 | $ | 26,700 | |
November | 6,000 | $ | 31,700 | |
December | 5,700 | $ | 28,100 | |
Summary Output | |
Regression Statistics | |
Multiple R | .924 |
R Square | .854 |
Adjusted R2 | .840 |
Standard Error | 2,090.15 |
Observations | 12.00 |
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
Intercept | 4,863.95 | 2,487.74 | 1.96 | 0.08 | (679.08) | 10,406.98 |
Machine Hours | 4.45 | 0.58 | 7.66 | 0.00 | 3.15 | 5.74 |
If the controller uses regression analysis to estimate costs, the estimate of the variable portion of electricity cost is:
a. Variable Cost = $7.66 Machine-hours.
b. Variable Cost = $0.85 Machine-hours.
c. Variable Cost = $4.45 Machine-hours.
d. Variable Cost = $0.58 Machine-hours.
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