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Question 1176089: Been stuck on this for hours and can't seem to properly put it in my calculator correctly.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.
x = 11.8, 8.6, 6.6, 3.6, 2.5, 2.2, 2.1, 0.6
y = 14.4, 11.5, 9.7, 7.3, 6.1, 5.6, 6.1, 4.8
x = thousands of automatic weapons
y = murders per 100,000 residents
This data can be modeled by the equation y=0.87x+4.06. Use the equation with the values rounded to two decimal places to make your predictions.
A) How many murders per 100,000 residents can be expected in a state with 7 thousand automatic weapons?
B) How many murders per 100,000 residents can be expected in a state with 9.2 thousand automatic weapons?
Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the formula to use is:
y = .87 * x + 4.06
when x = 7, y = .87 * 7 + 4.06 = 10.15
when x = 9, y = .87 * 9 + 4.06 = 12.064.
this translates to:
when the number of automatic weapons is equal to 7,000, then the number of murders per 100,000 is equal to 10.15.
when the number of automatic weapons is equal to 9,000, then the number of murders per 100,000 is equal to 12.0564.
the correlation is positive.
the higher the number of automatic weapons, in thousands, the greater the murder rate per 100,000 residents.
Answer by ikleyn(52794)  (Show Source):
You can put this solution on YOUR website! .
Go to GOOGLE and request "linear regression online calculator".
It will give you tens web-sites with free of charge such online calculators.
Use any of them; for example, this one
http://www.alcula.com/calculators/statistics/linear-regression/#gsc.tab=0
It has a convenient input and nice desription/instructions.
Input your data; click the "solve" button and get the answer (regression formula).
Use it to solve your problem.
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