Correlation and Linear Regression Flashcards
A statistic that quantifies a linear relation between two scale variables
The Pearson Correlation Coefficient
Sample symbol for Pearson Correlation Coefficient
r
Population parameter symbol for Pearson Correlation Coefficient
p
A statistic that quantifies a relation between two variables
Correlation Coefficient
Association between variables such that high scores on one variable tend to have high scores on the other variable
Positive Correlation
Association between variables such that high scores on one variable tend to have low scores on the other variable
Negative Correlation
Null hypothesis for testing correlation
There is no effect, r=0
Two types of significance to be considered when interpreting the coefficient in a model
Statistic and Economic
Number that indicates how well data fit a statistical model
R squared
Provides a measure of how well observed outcomes are replicated by the model, as the proportion of total variation of outcomes explained by the model. It’s the % of the variance explained by the model.
R squared
Multiple Regression
- Contains more than one independent variable.
- Assumes the independent variables are independent. They don’t effect each other.
- Estimates the influence of each independent variable holding the others constant.