The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.3 8.4 6.9 3.3 2.4 2.8 2.3 0.5 yy 13.7 11 9.6 7.1 5.8 6.5 6 4.7 xx = thousands of automatic weapons yy = murders per 100,000 residents This data can be modeled by the equation y=0.83x+4.11. Use this equation to answer the following; A) How many murders per 100,000 residents can be expected in a state with 1.8 thousand automatic weapons? Answer = _ Nearest whole value. B) How many murders per 100,000 residents can be expected in a state with 7 thousand automatic weapons? Answer = _ Nearest whole value
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
12.3 Linear Regression Equation
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.
| xx | 11.3 | 8.4 | 6.9 | 3.3 | 2.4 | 2.8 | 2.3 | 0.5 |
|---|---|---|---|---|---|---|---|---|
| yy | 13.7 | 11 | 9.6 | 7.1 | 5.8 | 6.5 | 6 | 4.7 |
xx = thousands of automatic weapons
yy = murders per 100,000 residents
This data can be modeled by the equation y=0.83x+4.11. Use this equation to answer the following;
A) How many murders per 100,000 residents can be expected in a state with 1.8 thousand automatic weapons?
Answer = _ Nearest whole value.
B) How many murders per 100,000 residents can be expected in a state with 7 thousand automatic weapons?
Answer = _ Nearest whole value
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