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.
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 !!
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