The table below shows the number of state-registered automatic weapons and the murder rate for sever Northwestern states. 11.8 8.5 7 3.3 2.5 2.8 2.2 0.6 14.2 11.6 10.3 7.1 6.4 6.7 6.2 4.8 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the linear equation ŷ = 0.84x + 4.33 a. How many murders per 100,000 residents can be expected in a state with 9.1 thousand automatic weapons? Round to 3 decimal places. murders per 100,000 residents b. How many murders per 100,000 residents can be expected in a state with 4.3 thousand automatic weapons? Round to 3 decimal places. 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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The table below shows the number of state-registered automatic weapons and the murder rate for several
Northwestern states.
11.8
8.5
7
3.3
2.5
2.8
2.2
0.6
14.2
11.6
10.3
7.1
6.4
6.7
6.2
4.8
thousands of automatic weapons
= murders per 100,000 residents
This data can be modeled by the linear equation
ŷ = 0.84x + 4.33
a. How many murders per 100,000 residents can be expected in a state with 9.1 thousand automatic
weapons? Round to 3 decimal places.
murders per 100,000 residents
b. How many murders per 100,000 residents can be expected in a state with 4.3 thousand automatic
weapons? Round to 3 decimal places.
murders per 100,000 residents
Transcribed Image Text:The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.8 8.5 7 3.3 2.5 2.8 2.2 0.6 14.2 11.6 10.3 7.1 6.4 6.7 6.2 4.8 thousands of automatic weapons = murders per 100,000 residents This data can be modeled by the linear equation ŷ = 0.84x + 4.33 a. How many murders per 100,000 residents can be expected in a state with 9.1 thousand automatic weapons? Round to 3 decimal places. murders per 100,000 residents b. How many murders per 100,000 residents can be expected in a state with 4.3 thousand automatic weapons? Round to 3 decimal places. murders per 100,000 residents
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