# Office Building Temperatures

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The owner of an office building studies heating cost versus daily high temperatures. He records the following data:

Temperature (deg C) @ Cost ($100)

-------------------------------

1 @ 9

4 @ 5

6 @ 3

10 @ 2

He proposes a regression equation to predict the cost of heating the building.

What is the predicted heating cost for a day with a high temperature of 8 degrees C and what is the correlation coefficient?

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##### Solution Summary

The soltuion addresses the fact that the owner of an office building studies heating cost versus daily high temperatures and his data recording.

##### Solution Preview

The Regression equation to predict the cost of heating will be

<br>Y=aX+b

<br>where Y is the predicted cost

<br>X is the high temperature

<br>a is the coefficient of the first variable (temperature) and

<br>b is the intercept.

<br>Our given data ...

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