The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x   11.5 8.5 6.7 3.8 2.6 2.5 2.3 0.4 y   13.9 11.4 9.5 7.1 6.3 6.2 6.1 4.2 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y=0.86x+3.96. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. A) How many murders per 100,000 residents can be expected in a state with 1.8 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 9.7 thousand automatic weapons? Answer = Round to 3 decimal places.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: The Rectangular Coordinate System And Graphs
Problem 2ECP
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The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.

x
  11.5 8.5 6.7 3.8 2.6 2.5 2.3 0.4
y
  13.9 11.4 9.5 7.1 6.3 6.2 6.1 4.2

x = thousands of automatic weapons
y = murders per 100,000 residents

This data can be modeled by the equation y=0.86x+3.96. Use this equation to answer the following;
Special Note: I suggest you verify this equation by performing linear regression on your calculator.

A) How many murders per 100,000 residents can be expected in a state with 1.8 thousand automatic weapons?

Answer = Round to 3 decimal places.

B) How many murders per 100,000 residents can be expected in a state with 9.7 thousand automatic weapons?

Answer = Round to 3 decimal places.

 

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