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A fire-insurance company wants to relate the amount of fire damage in major residential fires to the distance between the residence and the nearest fire A sample of 6 recent fires in some suburb of a major city is selected. The amount of damage and the distance between the fire and the nearest fire station are recorded for each fire in the table below:   Distance from fire station (miles) 2.9 1.3 4.4 1.8 2.6 5.1 Fire damage ($ thousands) 26.1 16.8 30.3 22.8 25.1 35

A fire-insurance company wants to relate the amount of fire damage in major residential fires to the distance between the residence and the nearest fire A sample of 6 recent fires in some suburb of a major city is selected. The amount of damage and the distance between the fire and the nearest fire station are recorded for each fire in the table below:   Distance from fire station (miles) 2.9 1.3 4.4 1.8 2.6 5.1 Fire damage ($ thousands) 26.1 16.8 30.3 22.8 25.1 35

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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  1. A fire-insurance company wants to relate the amount of fire damage in major residential fires to the distance between the residence and the nearest fire A sample of 6 recent fires in some suburb of a major city is selected. The amount of damage and the distance between the fire and the nearest fire station are recorded for each fire in the table below:

 

Distance from fire station

(miles)

2.9

1.3

4.4

1.8

2.6

5.1

Fire damage ($ thousands)

26.1

16.8

30.3

22.8

25.1

35
  1.  
a) Find the least squares line for the given data. b) Test the null hypothesis Ho: B1= 0 against Ha: ß1# 0. Use a = the result. 0.05.Interpret c) Find coefficient of correlation r and interpret its value. d) Predict possible amount of the fire damage for the house that is 3.5 miles from the nearest station. Use a 90% prediction interval. Xp =
Transcribed Image Text:a) Find the least squares line for the given data. b) Test the null hypothesis Ho: B1= 0 against Ha: ß1# 0. Use a = the result. 0.05.Interpret c) Find coefficient of correlation r and interpret its value. d) Predict possible amount of the fire damage for the house that is 3.5 miles from the nearest station. Use a 90% prediction interval. Xp =
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