The table below shows the number of state-registered automatic weapons and the m

Question

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.

= thousands of automatic weapons
= murders per 100,000 residentsUse your calculator to determine the equation of the regression line. (Round to 2 decimal places)

Determine the regression equation in y = ax + b form and write it below.

______________ A) How many murders per 100,000 residents can be expected in a state with 3.5 thousand automatic weapons?

Answer = __________Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 5 thousand automatic weapons?

Answer = ____________ Round to 3 decimal places.

Explanation / Answer

The regression equation can be easily found in MS Excel by using the scatter plot and then choosing to show the equation on the plot, or using the regression function under Data Analysis tool.

The regression equation in this case is given as: yy = 0.8456 xx + 4.0543

A) For a state with 3.5 thousand automatic weapons, xx = 3.5

then, murders per 100,000 residents yy = 0.8456 * 3.5 + 4.0543 = 7.014

B) For xx = 5, yy = 0.8456 * 5 + 4.0543 = 8.282

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