The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.9 8.6 7.1 3.8 2.3 2.3 2.2 0.3 y 14.3 11 9.9 7.3 5.7 5.7 5.6 4.1 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y=0.87x+3.75. 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 5 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 10.5 thousand automatic weapons? Answer = Round to 3 decimal places.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.
| x |
|---|
| 11.9 | 8.6 | 7.1 | 3.8 | 2.3 | 2.3 | 2.2 | 0.3 | |
| y |
| 14.3 | 11 | 9.9 | 7.3 | 5.7 | 5.7 | 5.6 | 4.1 |
x = thousands of automatic weapons
y = murders per 100,000 residents
This data can be modeled by the equation y=0.87x+3.75. 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 5 thousand automatic weapons?
Answer = Round to 3 decimal places.
B) How many murders per 100,000 residents can be expected in a state with 10.5 thousand automatic weapons?
Answer = Round to 3 decimal places.
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