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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 2,600 $ 19,250
February 3,000 $ 22,700
March 2,000 $ 14,350
April 3,200 $ 24,700
May 3,900 $ 29,100
June 3,400 $ 23,700
July 4,200 $ 25,600
August 3,600 $ 23,600
September 2,100 $ 17,200
October 3,800 $ 27,700
November 4,800 $ 32,700
December 4,300 $ 28,600

Summary Output
Regression Statistics
Multiple R 0.955
R Square 0.912
Adjusted R2 0.904
Standard Error 1,630.46
Observations 12.00

Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 4,476.65 1,979.98 2.26 0.05 64.99 8,888.32
Machine Hours 5.76 0.56 10.20 0.00 4.50 7.01

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

Multiple Choice

  • 0.955.

  • 0.912.

  • 0.904.

  • 0.962.

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