Fire damage in the United States amounts to billions of dollars, much of it insured. The time taken to arrive at the fire is critical. This raises the question, Should insurance companies lower premiums if the home to be insured is close to a fire station? To help make a decision, a study was undertaken wherein a number of fires were investigated. The distance to the nearest fire station (in miles) and the percentage of fire damage were recorded. Now, consider the linear model: Y = Bo + B₁x₁ + Ei where €; ~ N(0,0²). Using R, estimate with 95% confidence the average percentage loss due to fire for houses that are 2 miles away from the nearest fire station. Provide the numerical value of the Upper Confidence Limit (UCL) of your confidence interval. Your final answer must be a number. Round it to 4 decimal places. Thanks!

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Fire damage in the United States amounts to billions of dollars, much of it insured. The time taken to arrive at the fire is critical. This raises the question, Should
insurance companies lower premiums if the home to be insured is close to a fire station? To help make a decision, a study was undertaken wherein a number of fires
were investigated. The distance to the nearest fire station (in miles) and the percentage of fire damage were recorded.
Now, consider the linear model:
Y₁ = Bo + B1x: + €i
where € ~ N(0,02).
Using R, estimate with 95% confidence the average percentage loss due to fire for houses that are 2 miles away from the nearest fire station. Provide the numerical
value of the Upper Confidence Limit (UCL) of your confidence interval.
Your final answer must be a number. Round it to 4 decimal places. Thanks!
Transcribed Image Text:Fire damage in the United States amounts to billions of dollars, much of it insured. The time taken to arrive at the fire is critical. This raises the question, Should insurance companies lower premiums if the home to be insured is close to a fire station? To help make a decision, a study was undertaken wherein a number of fires were investigated. The distance to the nearest fire station (in miles) and the percentage of fire damage were recorded. Now, consider the linear model: Y₁ = Bo + B1x: + €i where € ~ N(0,02). Using R, estimate with 95% confidence the average percentage loss due to fire for houses that are 2 miles away from the nearest fire station. Provide the numerical value of the Upper Confidence Limit (UCL) of your confidence interval. Your final answer must be a number. Round it to 4 decimal places. Thanks!
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