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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 | $ | 18,500 | |
February | 3,100 | $ | 21,200 | |
March | 2,100 | $ | 13,600 | |
April | 3,300 | $ | 23,200 | |
May | 4,000 | $ | 28,350 | |
June | 3,500 | $ | 22,200 | |
July | 4,300 | $ | 24,850 | |
August | 3,700 | $ | 22,850 | |
September | 2,200 | $ | 15,700 | |
October | 3,900 | $ | 26,200 | |
November | 4,900 | $ | 31,200 | |
December | 4,400 | $ | 27,850 | |
Summary Output | |
Regression Statistics | |
Multiple R | 0.965 |
R Square | 0.930 |
Adjusted R2 | 0.923 |
Standard Error | 1,443.07 |
Observations | 12.00 |
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
Intercept | 2,728.64 | 1,800.97 | 1.52 | 0.16 | (1,284.17) | 6,741.44 |
Machine Hours | 5.77 | 0.50 | 11.56 | 0.00 | 4.66 | 6.88 |
The percent of the total variance that can be explained by the regression is:
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