Answer :
Final answer:
Using the given simple linear regression model, a house with 2000 square feet is expected to sell for $270,000.
Explanation:
The question asks how much a house with 2000 square feet would sell for, given the simple linear regression model with parameters eta_{0} = 190,000 (the intercept) and eta_{1} = 40 (the slope). To find the expected selling price for a 2000 square feet house, we simply need to plug the square footage into the regression equation, which is y = eta_{0} + eta_{1}x, where y is the expected house price and x is the square footage of the house. Following the model:
y = 190,000 + (40 imes 2000)
y = 190,000 + 80,000
y = 270,000
Therefore, one would expect a house with 2000 square feet to sell for $270,000.