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In: Statistics and Probability

A researcher wants to know the relationship between murder and robbery. The researcher recorded the number of murders and robberies per 100,000 population for a random selection of cities.

Question 4

A researcher wants to know the relationship between murder and robbery. The researcher recorded the number of murders and robberies per 100,000 population for a random selection of cities. Help the researcher to find the relationship between the two variables.

Murders, x 2.4 2.7 5.6 2.6 2.1 3.3 6.6 5.7
Robberies, y 25 14 151 91 80 49 173 96
       
a. Calculate the correlation coefficient, R. Interpret the calculated value of R.      
b. Briefly comment on the relationship between the two variables based on the correlation
coefficient, R.        (1 Mark)
c. Calculate the slope, b.      
d. Calculate the intercept, a.      
e. Write the regression equation.  

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