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

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

$267,116
$267,116

$250,000
$250,000

$244,804

Answer 1

To find the \( \hat{y} \) value (the predicted cost) using the line of best fit equation given by:

\[ \hat{y} = 142.2x - 11,156 \]

we can substitute \( x = 1800 \) (the size of the house in square feet) into the equation.

Calculating this:

\[ \hat{y} = 142.2(1800) - 11,156 \] \[ \hat{y} = 255,960 - 11,156 \] \[ \hat{y} = 244,804 \]

Therefore, the predicted cost \( \hat{y} \) for a house size of 1,800 square feet is:

\[ \hat{y} = 244,804 \]

So the final answered response is:

$244,804