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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 | 3,300 | $ | 18,800 | |
February | 3,700 | $ | 21,800 | |
March | 2,700 | $ | 13,900 | |
April | 3,900 | $ | 23,800 | |
May | 5,200 | $ | 28,650 | |
June | 4,100 | $ | 22,800 | |
July | 5,100 | $ | 25,150 | |
August | 4,300 | $ | 23,150 | |
September | 2,800 | $ | 16,300 | |
October | 4,500 | $ | 26,800 | |
November | 6,200 | $ | 31,800 | |
December | 5,700 | $ | 28,150 | |
Summary Output | |
Regression Statistics | |
Multiple R | 0.957 |
R Square | 0.916 |
Adjusted R2 | 0.908 |
Standard Error | 1,584.49 |
Observations | 12.00 |
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
Intercept | 3,998.65 | 1,911.17 | 2.09 | 0.06 | (259.71) | 8,257.01 |
Machine Hours | 4.53 | 0.43 | 10.47 | 0.00 | 3.56 | 5.49 |
The correlation coefficient for the regression equation for electricity costs is:
Multiple Choice
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0.957.
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0.916.
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0.908.
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0.966.
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