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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 | 2,700 | $ | 19,300 | |
February | 3,100 | $ | 22,800 | |
March | 2,100 | $ | 14,400 | |
April | 3,300 | $ | 24,800 | |
May | 4,000 | $ | 29,150 | |
June | 3,500 | $ | 23,800 | |
July | 4,300 | $ | 25,650 | |
August | 3,700 | $ | 23,650 | |
September | 2,200 | $ | 17,300 | |
October | 3,900 | $ | 27,800 | |
November | 4,900 | $ | 32,800 | |
December | 4,400 | $ | 28,650 | |
Summary Output | |
Regression Statistics | |
Multiple R | 0.954 |
R Square | 0.911 |
Adjusted R2 | 0.902 |
Standard Error | 1,645.83 |
Observations | 12.00 |
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
Intercept | 3,979.06 | 2,054.03 | 1.94 | 0.08 | (597.59) | 8,555.71 |
Machine Hours | 5.76 | 0.57 | 10.11 | 0.00 | 4.49 | 7.03 |
The correlation coefficient for the regression equation for electricity costs is:
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