To find the predicted y^ value from the line of best fit equation \( y^ = 142.2x - 11,156 \) for a house size (x) of 1,800 square feet, we can substitute \( x = 1800 \) into the equation:
\[ y^ = 142.2(1800) - 11,156 \]
Calculating \( 142.2 \times 1800 \):
\[ 142.2 \times 1800 = 256,176 \]
Now, subtract 11,156 from this product:
\[ y^ = 256,176 - 11,156 = 245,020 \]
Therefore, the predicted y^ value is approximately \( 245,020 \).
Since this is not listed among the response options (which were $267,116, $250,000, $2,855,489,760, and $244,804), it seems there may have been an error in the provided options. However, it's calculated to be around $245,020 from the given line of best fit. If you are looking for which of the closest alternative responses might have been accurate, $244,804 would be the nearest solution.