High School

There is a strong positive linear correlation between the size of a house and its selling price. The following is the least-squares regression line representing the size of a house in square feet ([tex]x[/tex]) and its selling price ([tex]\hat{y}[/tex]) in thousand dollars:

[tex]\hat{y} = 160.194 + 0.0992x[/tex]

Predict the selling price of a 2800 square feet house in thousands of dollars, to the nearest integer.

A. 278
B. 448
C. 438
D. 450

Answer :

Given, Least-square regression line representing the size of a house in square feet (x) and its selling price (ŷ) in thousand dollars isy = 160.194 +0.0992x

The correct option is (C).

We have to predict the selling price of a 2800 square feet house in thousands of dollars to the nearest integer.So, putting the value of x = 2800 in the equation of regression line, we get

y = 160.194 + 0.0992 × 2800

y = 160.194 + 277.36

y = 437.554 ≈ 438

Hence, the selling price of a 2800 square feet house in thousands of dollars to the nearest integer is 438.

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