1. 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. With this increase in the use of home smoke detectors, we would expect that death rates due to home fires have decreased. The following table contains 17 years of data on the estimated percentage of homes with smoke detectors and the estimated home fire deaths per million people: Year 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 Percentage of Homes with Smoke Detectors 0.48 0.65 0.72 0.74 0.75 0.8 0.79 0.83 0.84 0.86 0.88 0.9 0.95 0.96 0.97 0.96 0.96 Home Fire Deaths per Million People 23 20.9 17.4 20.6 19.5 19 17.7 16.3 13.7 14.5 14.4 13.1 11 11 10.3 8.5 8.2 a. Do you expect a positive or negative relationship between smoke detector use and deaths from home fires? Explain. b. Draw a scatterplot of these data. You can do it either by hand or using Excel. c. Compute the covariance and correlation coefficient. (Round your answer to four decimal places.). Is there a positive or negative correlation between smoke detector use and deaths from home fires? Comment and relate to your scatterplot.
1. 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. With this increase in the use of home smoke detectors, we would expect that death rates due to home fires have decreased. The following table contains 17 years of data on the estimated percentage of homes with smoke detectors and the estimated home fire deaths per million people: Year 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 Percentage of Homes with Smoke Detectors 0.48 0.65 0.72 0.74 0.75 0.8 0.79 0.83 0.84 0.86 0.88 0.9 0.95 0.96 0.97 0.96 0.96 Home Fire Deaths per Million People 23 20.9 17.4 20.6 19.5 19 17.7 16.3 13.7 14.5 14.4 13.1 11 11 10.3 8.5 8.2 a. Do you expect a positive or negative relationship between smoke detector use and deaths from home fires? Explain. b. Draw a scatterplot of these data. You can do it either by hand or using Excel. c. Compute the covariance and correlation coefficient. (Round your answer to four decimal places.). Is there a positive or negative correlation between smoke detector use and deaths from home fires? Comment and relate to your scatterplot.
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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