Let x be the size of a house (in square feet) and y be the amount of natural gas

Question

Let x be the size of a house (in square feet) and y be the amount of natural gas used (terms) during a specified period. Suppose that for a particular community, x and y are related according to the simple linear regression model with the following values. beta = slope of population regression hoe = 0 016 alpha = y intercept of population regression line = 7 what is the equation of the population regression line? What is the mean value of gas usage for houses with 2100 sq. ft. of space? What is the average charge m usage associated with a 1 sq ft. increase in size? What in the average change in usage automated with a 100 sq ft increase in size?

Explanation / Answer

Beta = .016
Alpha = -7

a) y=0.16X-7, where x and y are the what is mentioned in the question

b) The mean value of gas usage in 2100 sq ft.
= .016*2100-7
=26.6

c) Avg change is .016

d) Avg change is .

016*100=1.6

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