A major insurance company wants to relate the amount of fire damage y (in thousands of dollars) in major residential fires to the distance x (in miles) between the burning house and the nearest fire station. Data from a random sample of 15 such fires was used to establish the following regression model ŷ = 10.28 + 4.92x , 0.5

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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How do I find the predicted fire damage?

A major insurance company wants to relate the amount of fire damage y (in thousands of dollars) in
major residential fires to the distance x (in miles) between the burning house and the nearest fire
station. Data from a random sample of 15 such fires was used to establish the following regression
model ŷ = 10.28 + 4.92x , 0.5 < x < 10, and r2 = 0.9235.
The predicted fire damage, if a major residential fıre were to occur 3.5 miles from the nearest fıre
station, is closest to, in thousands of dollars, is
Transcribed Image Text:A major insurance company wants to relate the amount of fire damage y (in thousands of dollars) in major residential fires to the distance x (in miles) between the burning house and the nearest fire station. Data from a random sample of 15 such fires was used to establish the following regression model ŷ = 10.28 + 4.92x , 0.5 < x < 10, and r2 = 0.9235. The predicted fire damage, if a major residential fıre were to occur 3.5 miles from the nearest fıre station, is closest to, in thousands of dollars, is
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