-4 points PeckDevStat 7 13,E.000 My Notes Ask Your Teacher Let x be the size of

Question

-4 points PeckDevStat 7 13,E.000 My Notes Ask Your Teacher Let x be the size of a house (sq ft) and y be the amount of natural gas used (the 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. B slope of population regression line 0.014. a y intercept of population regression line -6 (a) What is the equation of the population regression line? (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?

Explanation / Answer

1)
(A) Regression line equation
y = 0.014x - 6

(B)
For x = 2000,
y = 0.014*2000 - 6 = 22

(C)
0.014 therms is the average change in usage associated with a 1 square foot increase in size

(D)
0.014 * 100 = 14 therms is the average change in usage associated with a 100 square foot increase in size

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