According to the inverse regression function and the regression slope and intercept from predicting prices from square-feet, what is the estimated square-feet for a house costing $800,000? You do not need to round your answer.
Question
According to the inverse regression function and the regression slope and intercept from predicting prices from square-feet, what is the estimated square-feet for a house costing $800,000? You do not need to round your answer.
Solution
The inverse regression function is used to predict the input (in this case, square feet) from the output (in this case, house price). The equation for this is:
SquareFeet = (Price - Intercept) / Slope
Given the estimated intercept is -44850 and the estimated slope is 280.76, and we want to find the square feet for a house costing $800,000, we can substitute these values into the equation:
SquareFeet = ($800,000 - (-44850)) / 280.76
Calculating this, we get:
SquareFeet = (800000 + 44850) / 280.76
SquareFeet = 844850 / 280.76
SquareFeet = 3008.96
Therefore, the estimated square feet for a house costing $800,000 is approximately 3009 square feet.
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