This data can be modeled by the equation y=0.84x+4.08. 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 7.8 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 1.5 thousand automatic weapons? Answer = Round to 3 decimal places.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
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.
| xx | 11.9 | 8.6 | 6.8 | 3.8 | 2.6 | 2.7 | 2.5 | 0.5 |
|---|---|---|---|---|---|---|---|---|
| yy | 14 | 11.5 | 9.6 | 7.2 | 5.9 | 6.5 | 6.3 | 4.6 |
xx = thousands of automatic weapons
yy = murders per 100,000 residents
This data can be modeled by the equation y=0.84x+4.08. 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 7.8 thousand automatic weapons?
Answer = Round to 3 decimal places.
B) How many murders per 100,000 residents can be expected in a state with 1.5 thousand automatic weapons?
Answer = Round to 3 decimal places.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
