You wish to determine if there is a negative linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.01 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 31 23 60 27

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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You wish to determine if there is a negative linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.01 and round all values to 4 decimal places.

Driver Age Number of Driver Deaths per 100,000
31 23
60 27
33 18
64 36
72 31
65 31

 

Ho: ρ = 0
Ha: ρ < 0

Find the Linear Correlation Coefficient
    r = 

Find the p-value
   p-value =   

The p-value is

  • Less than (or equal to) αα
  • Greater than αα

 

The p-value leads to a decision to

  • Reject Ho
  • Accept Ho
  • Do Not Reject Ho

 

The conclusion is 

  • There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths.
  • There is a significant linear correlation between driver age and number of driver deaths.
  • There is a significant positive linear correlation between driver age and number of driver deaths.
  • There is a significant negative linear correlation between driver age and number of driver deaths.
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