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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 3,000 $ 18,650
February 3,400 $ 21,500
March 2,400 $ 13,750
April 3,600 $ 23,500
May 4,300 $ 28,500
June 3,800 $ 22,500
July 4,600 $ 25,000
August 4,000 $ 23,000
September 2,500 $ 16,000
October 4,200 $ 26,500
November 5,600 $ 31,500
December 5,200 $ 28,000

Summary Output
Regression Statistics
Multiple R 0.952
R Square 0.906
Adjusted R2 0.897
Standard Error 1,676.51
Observations 12.00

Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 3,639.33 2,048.60 1.78 0.11 (925.25) 8,203.90
Machine Hours 5.04 0.51 9.83 0.00 3.89 6.18

The correlation coefficient for the regression equation for electricity costs is:

Multiple Choice

  • 0.897.

  • 0.952.

  • 0.906.

  • 0.956.

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