The line of best fit is y^

Question

=142.2x−11,156
. This line shows the comparison of house size in comparison to the cost of the house. If the size of the house, 1,800 square feet, gives the cost of $250,000, what is the y^
value given the line of best fit?(1 point)
Responses

$267,116
$267,116

$2,855,489,760
$2,855,489,760

$244,804
$244,804

$250,000
$250,000

Answer 1

To find the predicted value (\( \hat{y} \)) using the line of best fit equation \( \hat{y} = 142.2x - 11,156 \), we will substitute \( x = 1,800 \) (the size of the house in square feet) into the equation.

\[ \hat{y} = 142.2(1800) - 11,156 \]

Calculating the first part:

\[ 142.2 \times 1800 = 255,960 \]

Now, subtract \( 11,156 \):

\[ \hat{y} = 255,960 - 11,156 = 244,804 \]

Thus, the value of \( \hat{y} \) given the line of best fit for a house size of 1,800 square feet is:

$244,804