Answered: Smoke Detector Use and Death Rates :…

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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Question

Smoke Detector Use and Death Rates : application problem on measures of association between two variables.

Smoke Detector Use and Death Rates. Over the past 40 years, the percentage of homes in the United States with smoke detectors has risen steadily and has plateaued at about 96% as of 2015 (National Fire Protection Association website). With this increase in the use of home smoke detectors, what has happened to the death rate from home fires? The file SmokeDetectors contains 17 years of data on the estimated percentage of homes with smoke detectors and the estimated home fire deaths per million of population.

Compute and report the correlation coefficient. Is there a positive or negative correlation between smoke detector use and deaths from home fires? Comment.
Show a scatter plot of the death rate per million of population and the percentage of homes with smoke detectors.

Percentage of Homes with Smoke Detectors	Home Fire Deaths per Million of Population
0.5	22.9
0.67	20.8
0.74	17.3
0.76	20.5
0.77	19.4
0.82	18.9
0.81	17.6
0.85	16.2
0.86	13.6
0.88	14.4
0.9	14.3
0.92	13
0.95	10.9
0.96	10.9
0.97	10.2
0.96	8.4
0.96	8.1