Question

A real estate agent has developed a linear model for the price of a studio apartment, P, in dollars in terms of the area A, in square feet for the apartments in a certain neighborhood. The data set had areas ranging from 1,000 square feet to 4,500 square feet. Would predicting the prices of a home that is 4,900 square feet be interpolation or extrapolation? Explain.(1 point)
Responses

Using the model to predict the price of a 4,900 square foot apartment is extrapolation because 4,900 square feet is outside the range of the areas in the data.
Using the model to predict the price of a 4,900 square foot apartment is extrapolation because 4,900 square feet is outside the range of the areas in the data.

Using the model to predict the price of a 4,900 square foot apartment is interpolation because 4,900 square feet is inside the range of the areas in the data.
Using the model to predict the price of a 4,900 square foot apartment is interpolation because 4,900 square feet is inside the range of the areas in the data.

Using the model to predict the price of a 4,900 square foot apartment is extrapolation because 4,900 square feet is inside the range of the areas in the data.
Using the model to predict the price of a 4,900 square foot apartment is extrapolation because 4,900 square feet is inside the range of the areas in the data.

Using the model to predict the price of a 4,900 square foot apartment is interpolation because 4,900 square feet is outside the range of the areas in the data.
Using the model to predict the price of a 4,900 square foot apartment is interpolation because 4,900 square feet is outside the range of the areas in the data.

Answer 1

Using the model to predict the price of a 4,900 square foot apartment is extrapolation because 4,900 square feet is outside the range of the areas in the data.