For a sample of 15 rural counties in one state, a researcher has collected information about the rate of deaths due to traffic accidents per 1,000,000 population and the percentage of the population which consists of males, age 16 to 25. For these variables, find the least squares regression line and compute r and r squared. Write a sentence or two summarizing and explaining your results. RATE OF % OF POPULATION County Traffic Deaths Young Males County Traffic Deaths Young Males A 15 4 B 16 5 C 22 10 D 23 9 E 20 8 F 25 11 G 18 2 H 15 6 I 19 12 J 10 3 K 9 2 L 18 15 M 15 9 N 24 16 O 9 3
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.
- For a sample of 15 rural counties in one state, a researcher has collected information about the rate of deaths due to traffic accidents per 1,000,000 population and the percentage of the population which consists of males, age 16 to 25. For these variables, find the least squares regression line and compute r and r squared. Write a sentence or two summarizing and explaining your results.
RATE OF % OF POPULATION
County Traffic Deaths Young Males
|
County |
Traffic Deaths |
Young Males |
|
A |
15 |
4 |
|
B |
16 |
5 |
|
C |
22 |
10 |
|
D |
23 |
9 |
|
E |
20 |
8 |
|
F |
25 |
11 |
|
G |
18 |
2 |
|
H |
15 |
6 |
|
I |
19 |
12 |
|
J |
10 |
3 |
|
K |
9 |
2 |
|
L |
18 |
15 |
|
M |
15 |
9 |
|
N |
24 |
16 |
|
O |
9 |
3 |
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
