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Thane Company Is Interested in Establishing the Relationship Between Electricity

question 9

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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. The monthly data and the regression output follow:
MonthMachine HoursElectricity Costs January 2,500$18,400 February 2,90021,000 March 1,90013,500 April 3,10023,000 May 3,80028,250 June 3,30022,000 July 4,10024,750 August 3,50022,750 September 2,00015,500 October 3,70026,000 November 4,70031,000 December 4,20027,750\begin{array}{lll}\text {Month}&\text {Machine Hours}&\text {Electricity Costs}\\\text { January } & 2,500 & \$ 18,400 \\\text { February } & 2,900 & 21,000 \\\text { March } & 1,900& 13,500 \\\text { April } & 3,100 & 23,000 \\\text { May } & 3,800& 28,250 \\\text { June } & 3,300& 22,000 \\\text { July } & 4,100 & 24,750\\\text { August } & 3,500 & 22,750 \\\text { September } & 2,000 & 15,500 \\\text { October } & 3,700 & 26,000 \\\text { November } & 4,700 & 31,000 \\\text { December } & 4,200 & 27,750\end{array}



 Summary Output  Regression Statistic Multiple R 0.965 R Squuare 0.932 Adjusted R 20.925 Standard Error 1,425.18 Observations 12.00\begin{array}{c}{ \text { Summary Output } } \\ { \text { Regression Statistic} } \\\begin{array} { | c | c | } \hline \text { Multiple R } & 0.965 \\\hline \text { R Squuare } & 0.932 \\\hline \text { Adjusted R } ^2& 0.925 \\\hline \text { Standard Error } & 1,425.18 \\\hline \text { Observations } & 12.00 \\\hline\end{array}\end{array}
 Standard  Lower  Upper  Coefficients  Error  t Stat  P-value 95%95% Intercept 3,726.881,682.822.210.05(22.69) 7,476.45 Machine 5.770.4911.70.004.676.87 Hours \begin{array}{|l|r|r|r|r|r|r|}\hline && \text { Standard } & && \text { Lower } & \text { Upper } \\&\text { Coefficients } & \text { Error } & \text { t Stat } & \text { P-value } & 95 \% & 95 \% \\ \hline \text { Intercept } & 3,726.88 & 1,682.82 & 2.21 & 0.05 & (22.69) & 7,476.45 \\\hline \text { Machine } & 5.77 & 0.49 & 11.7 & 0.00 & 4.67 & 6.87 \\\text { Hours } & & & & & \\\hline\end{array}



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

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Definitions:

Annually Compounded

Interest on an investment or loan calculated once per year, including interest on the initial amount and all previously accumulated interest.

Effective Rate

The actual interest rate of an investment or loan when compounding interest is taken into account, differing from the nominal rate by including the effects of compounding.

Financial Position

A snapshot of the resources, obligations, and the net worth of an individual or organization at a specific point in time.

Nominal Rate

The stated interest rate of a loan or investment, not taking into account the effect of compounding.

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