How many murders per 100,000 residents can be expected in a state with 3.7 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 9.8 thousand automatic weapons?
How many murders per 100,000 residents can be expected in a state with 3.7 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 9.8 thousand automatic weapons?
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
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.
| xx | 11.7 | 8.2 | 6.9 | 3.6 | 2.4 | 2.4 | 2.6 | 0.3 |
|---|---|---|---|---|---|---|---|---|
| yy | 14.3 | 11 | 10.2 | 7.3 | 5.9 | 6.4 | 6 | 4.6 |
x = thousands of automatic weapons
y = murders per 100,000 residents
This data can be modeled by the equation y=0.86x+4.1.y=0.86x+4.1. 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 3.7 thousand automatic weapons?
Answer = Round to 3 decimal places.
B) How many murders per 100,000 residents can be expected in a state with 9.8 thousand automatic weapons?
Answer = Round to 3 decimal places.
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