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Thane Company Is Interested in Establishing the Relationship Between Electricity

question 22

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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 Statistics  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 Statistics } } \\\begin{array}{ | l | 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 percent of the total variance that can be explained by the regression is:


Definitions:

Vestibular Sac

A part of the inner ear involved in balance, helping to sense changes in head position and movement.

Auditory Canal

The part of the ear through which sound waves travel toward the eardrum, also known as the external auditory meatus.

Semicircular Canal

One of three fluid-filled tubes in the inner ear that play a key role in maintaining balance by detecting head movement and rotation.

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