In: Statistics and Probability
The accompanying table lists the number of registered automatic weapons (in thousands) along with the murder rate (in murders per 100,000 of population), for randomly selected states. Automatic weapons are guns that continue to fire repeatedly while the trigger is help back.
Automatic Weapons 11.6 8.3 3.6 0.6 6.9 2.5 2.4 2.6
Murder Rate 13.1 10.6 10.1 4.4 11.5 6.6 3.6 5.3
a) Plot the scatter diagram for the paired data.
b) Assuming a 5% level of significance, use the five-step hypothesis testing process and the linear correlation coefficient, r, to determine if there is a linear correlation.
c) Find the equation of the regression line and plot it on your scatter diagram using an x of 1.2 and an x of 10.4.
d) Determine the residual value for an x of 2.4 and explain its meaning.
e) What is the best predicted murder rate for a state with 9,600 registered automatic weapons?