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Statistics - Regression

The data below shows the number of registered automatic weapons, in thousands, and the murder rate, in murders per 100,000, for eight randomly selected states.
a. Determine the correlation coefficient between the number of automatic weapons and the murder rate.

b. Find the equation of the regression line.
c. Approximately what murder rate can we anticipate in a state that has 14 thousand registered weapons?

automatic weapons,X 11.8, 8.7, 6.3, 3.4, 2.1, 2.5, 2.3, 0.6
murder rate, Y 13.5, 10.9, 11.5, 10.8, 5.8, 6.8, 3.1, 4.6

a. Determine the correlation coefficient. R=What?(do not round until the final answer. Then round to two decimal places as needed.)

b. Find the equation of the regression line, y=mx+b. First find the slope, m.
m=?(round to two decimal places as needed.)

Now calculate the y-intercept, b,of the regression line.
b=? (round to two decimal places as needed)

c. Approximately the murder ratein a state that has 14 thousand registered weapons.

y=?murders per 100,000

(round to one decimal place as needed.)

Solution Summary

Neat and step-by-solutions are provided. Results are shown in Excel also.

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