Let x be the size of a house (sq ft) and y be the amount of natural gas employed (therms) throughout a specified period. Assume that for a specific community, x and y are related according to the simple linear regression model with the following values.
Beta= ? = slope of population regression line = 0.014
Alpha= ? = y intercept of population regression line = -4
(a) What is the equation of the population regression line?
y =___________
(b) What is the mean value of gas usage for houses with 2200 sq ft of space?
(c) What is the average change in usage associated with a 1 square foot increase in size?
(d) What is the average change in usage associated with a 100 square feet increase in size?