What are the goals of correlation coefficients? 4
- Estimate Rho 2. Use in other analyses (factor analysis, multiple regression) 3. Calculate coefficient of determination 4. Prediction
What is x and y in regression?
Predictor and criterion, respectively
What is the predicted value of y called?
Y hat (sometimes y’)
What are residuals in regression?
Person’s score minus person’s predicted score.
What does the regression line achieve?
Least squares criterion - Minimises squared errors of prediction (y-yhat) by placing line as close as possible to all points at once.
What is the standard error of the estimate?
The average amount of error in prediction (SD of the residuals). Ie; variability of real scores around the regression line.
What are df in the standard error of the estimate?
N-2
What are the variance components in regression? [formula]
SSy = SSregresssion + SSresidual sum(y-ybar )^2 = sum(yhat-ybar)^2 + sum(y-yhat)^2
