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# Model for Gasoline Consumption

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1. Automobiles have different fuel economies (mpg), and commuters drive different distances to work or school. Suppose that a state Department of Transportation (DOT) is interested in measuring the average monthly fuel consumption of commuters in a certain city. The DOT might sample a group of commuters and collect information on the number of miles driven per day, number of driving days per month, and fuel economy of their cars. Develop a model for the amount of gasoline consumed, using the symbols for the data given below.

G = gallons of fuel consumed per month
m = miles per day driven to and from work or school
d = number of driving days per month
f = fuel economy in miles per gallon

#### Solution Summary

This solution provides details on developing model for gasoline consumption given gallons of fuel consumed per month, miles per day driven to and from work or school, number of driving days per month and fuel economy in miles per gallon

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## Regression Model: Natural Gas Consumption vs Temperature

See attached file.

A very broad consensus has emerged around the proposition that global warming is a reality with likely serious global consequences. Many energy economists and political leaders are advocating a multipronged approach to providing alternative energy, including nuclear, natural gas, clean coal, and renewable sources from geothermal, solar and wind energy forms.

Municipalities and states have been asked by the Department of Energy to assess their energy requirements for each of the alternative fuels. In particular, they have decided to focus initially on natural gas, given the enormity of U.S. reserves and its relative cleanliness.

Attached is a portion of the regression output for selected municipalities in Illinois for 10 reporting periods (weeks). The dependent variable is consumption of natural gas in millions of cubic feet (Feulcons) and the independent variable is the temperature (Temp), measured in degrees Fahrenheit.

Determine R-Sq, the Standard Error, and F.

For this problem assume n = 10