Linear Regression Flashcards
Regression analysis?
Determine the predictive linear relationship between predictors (x) and criterion (y)
Ex: collect data on caloric intake (x) and to predict the BMI (y)
Types of regression?
- linear
- binary logistic
- multinominal logistic
Linear regression has a basis of what?
Correlation
Population correlation coefficient (p)?
Measures the strength of association
Sample correlation coefficient (r)?
An estimate of p andbisnused to measure the strength of the linear relationships in the sample observations
Coefficient of determination is?
r^2
What is r^2?
Square of the correlation
- Gives the proportion of the variation of the dependent variable
- gives the correlation between the actual value and the predicted value
Perfect positive correlation?
r=+1
Linear regression fits data w/ a straight line, while logistic regression fits data w/ an S curve
True
In linear regression, the DV (outcome) is?
Continuous
Regression?
A statistical procedure used to find relationships among a set of variables
Multiple linear regression?
When there are several factors affecting the independent variable
If r=0.92?
Strong positive correlation
- r^2= 0.92*0.92=0.85=85%
- meaning that 85% of the total variation in y can be explained by the linear relationship w/ x and y
- the other 15% is unknown; i can predict y w/ 85% accuracy
In logistic regression the DV (outcome) is?
Categorical dichotomous
In multinomial logistic regression, the DV (outcome) is?
Categorical trichotomous+
