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Suppose that a simple linear regression model is appropriate for describing the relationship between y =...

Suppose that a simple linear regression model is appropriate for describing the relationship between y = house price (in dollars) and x = house size (in sq. ft.) for houses in a large city. The population regression line is y = 22,500 + 48x and σ = 4,000.

a) What is the average change in price associated with one extra sq. ft. of space? $

What is the average change in price associated with an additional 100 sq. ft. of space? $

b) Approximately what proportion of 2,000 sq. ft. homes would be priced over $120,000? (Round your answer to four decimal places.)

Approximately what proportion of 2,000 sq. ft. homes would be priced under $110,000? (Round your answer to four decimal places.)

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