Answered: How many murders per 100,000 residents…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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question 18

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

xx	11.5	8.1	7.2	3.5	2.9	2.8	2.2	0.3
yy	14.1	10.6	10.1	6.9	6.8	6.3	6.1	4.6

xx = thousands of automatic weapons
yy = murders per 100,000 residents

This data can be modeled by the equation y=0.84x+4.16.y=0.84x+4.16. Use this equation to answer the following;

A) How many murders per 100,000 residents can be expected in a state with 2.7 thousand automatic weapons?

Answer = _________ Round to 3 decimal places.

B) How many murders per 100,000 residents can be expected in a state with 4.1 thousand automatic weapons?

Answer = ___________ Round to 3 decimal places.

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