Question

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

xx |
11.5 | 8.4 | 7 | 3.9 | 2.7 | 2.6 | 2.3 | 0.7 |
---|---|---|---|---|---|---|---|---|

yy |
14.1 | 11.4 | 10.1 | 7.5 | 6.4 | 6 | 6.1 | 4.5 |

xx = thousands of automatic weapons

yy = murders per 100,000 residents

The equation y=3.93+0.89xy=3.93+0.89x can model this data. 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 2 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 thousand automatic weapons?

Answer = Round to 3 decimal places.

Answer #1

The euation is y = 0.7515x + 60.439

Considering your given equation

y=3.93+0.89x

A.

x=2000

y=3.93+0.89(2000)

y= 178.93

179.93 murders per 100,000 residents can be expected in a state with 2 thousand automatic weapons

b.

x=4000

y=3.93+0.89(4000)

y= 356.930

357 murders per 100,000 residents can be expected in a state with 4 thousand automatic weapons?

Hope this helps !!

The table below shows the number of state-registered automatic
weapons and the murder rate for several Northwestern
states.
xx
11.5
8.4
6.9
3.9
2.9
2.8
2.6
0.9
yy
14.1
10.9
10.1
7.5
6.4
6.6
6.1
5
xx = thousands of automatic weapons
yy = murders per 100,000 residents
This data can be modeled by the linear equation
ˆy=0.86x+4.07y^=0.86x+4.07
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xx
11.7
8.4
6.6
3.3
2.9
2.5
2.5
0.3
yy
13.9
11.5
9.5
6.8
6.2
6
6.1
4.1
xx = thousands of automatic weapons
yy = murders per 100,000 residents
This data can be modeled by the equation y=0.87x+3.84.y=0.87x+3.84.
Use this equation to answer the following;
Special Note: I suggest you verify this equation by performing
linear regression on your calculator.
Use...

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x
11.6
8
6.7
3.7
2.6
2.6
2.3
0.5
y
14.1
10.6
9.7
7
6.4
6.1
6
4.5
x = thousands of automatic weapons
y = murders per 100,000 residents
This data can be modeled by the equation y=0.86x+3.98. Use this
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Special Note: I suggest you verify this equation by performing
linear regression on your calculator.
A)...

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x
11.3
8.4
7.1
3.6
2.5
2.7
2.4
0.4
y
13.4
10.9
9.9
7.1
5.9
6
6
4.2
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y = murders per 100,000 residents
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The table below shows the number of state-registered automatic
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