PARAMETRIC Pt.3 Flashcards
- Determines whether there exists a relationship between variables
Correlation
movement together
- ρ(x,y) = ρ(y,x)
Correlation
Describe the nature of the relationship between variables.
Regression
- one variable affects the other
- cause and effect
- one way
Regression
2 TYPES OF RELATIONSHIPS
Simple Relationship
Multiple Relationship
1 independent (explanatory/predictor) and 1 dependent (response) variable
- can also be positive (directly proportional) and negative (inversely proportional)
Simple Relationship
- multiple regression
- > 2 independent variables are used to predict 1 dependent variable
Multiple Relationship
This ___________ means that there is no correlation between the x and y variables in the population.
null hypothesis
This _________________ means that there is a significant correlation between the variables in the population.
alternative hypothesis
PEARSON PRODUCT MOMENT CORRELATION COEFFICIENT
SCATTER PLOTS
- determines the strength of the linear relationship between two variables.
Correlation Coefficient
2 types of Correlation Coefficient
population & linear
- denoted by the Greek letter ρ is the correlation computed by using all possible pairs of data values (x, y) taken from a population.
Population correlation coefficient
Population correlation coefficient is denoted by
ρ
measures the strength and direction of a linear relationship between two quantitative variables.
Linear correlation coefficient