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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 | 2,200 | $ | 19,050 | |
February | 2,600 | $ | 22,300 | |
March | 1,600 | $ | 14,150 | |
April | 2,800 | $ | 24,300 | |
May | 3,500 | $ | 28,900 | |
June | 3,000 | $ | 23,300 | |
July | 3,800 | $ | 25,400 | |
August | 3,200 | $ | 23,400 | |
September | 1,700 | $ | 16,800 | |
October | 3,400 | $ | 27,300 | |
November | 4,400 | $ | 32,300 | |
December | 3,900 | $ | 28,400 | |
Summary Output | |
Regression Statistics | |
Multiple R | 0.958 |
R Square | 0.918 |
Adjusted R2 | 0.910 |
Standard Error | 1,572.21 |
Observations | 12.00 |
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
Intercept | 6,468.83 | 1,698.62 | 3.81 | 0.00 | 2,684.06 | 10,253.60 |
Machine Hours | 5.76 | 0.54 | 10.59 | 0.00 | 4.55 | 6.97 |
If the controller uses regression analysis to estimate costs, the estimate of the fixed portion of electricity costs is:
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