You wish to determine if there is a linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.01 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 65 29 48 33 35 20 72 26 44 30 39 31 79 25 22 34 56 20 Ho: ρ = 0 Ha: ρ ≠ 0 Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is Less than (or equal to) αα Greater than αα The p-value leads to a decision to Accept Ho Reject Ho Do Not Reject Ho The conclusion is There is a significant positive linear correlation between driver age and number of driver deaths. There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths. There is a significant linear correlation between driver age and number of driver deaths. There is a significant negative linear correlation between driver age and number of driver deaths.
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.
You wish to determine if there is a
| Driver Age | Number of Driver Deaths per 100,000 |
|---|---|
| 65 | 29 |
| 48 | 33 |
| 35 | 20 |
| 72 | 26 |
| 44 | 30 |
| 39 | 31 |
| 79 | 25 |
| 22 | 34 |
| 56 | 20 |
Ho: ρ = 0
Ha: ρ ≠ 0
Find the Linear
r =
Find the p-value
p-value =
The p-value is
- Less than (or equal to) αα
- Greater than αα
The p-value leads to a decision to
- Accept Ho
- Reject Ho
- Do Not Reject Ho
The conclusion is
- There is a significant
positive linear correlation between driver age and number of driver deaths. - There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths.
- There is a significant linear correlation between driver age and number of driver deaths.
- There is a significant
negative linear correlation between driver age and number of driver deaths.
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