The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.5 8.5 6.7 3.8 2.6 2.5 2.3 0.4 y 13.9 11.4 9.5 7.1 6.3 6.2 6.1 4.2 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y=0.86x+3.96. 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 1.8 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 9.7 thousand automatic weapons? Answer = Round to 3 decimal places.
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Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.
x |
---|
11.5 | 8.5 | 6.7 | 3.8 | 2.6 | 2.5 | 2.3 | 0.4 | |
y |
13.9 | 11.4 | 9.5 | 7.1 | 6.3 | 6.2 | 6.1 | 4.2 |
x = thousands of automatic weapons
y = murders per 100,000 residents
This data can be modeled by the equation y=0.86x+3.96. 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 1.8 thousand automatic weapons?
Answer = Round to 3 decimal places.
B) How many murders per 100,000 residents can be expected in a state with 9.7 thousand automatic weapons?
Answer = Round to 3 decimal places.
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