Regression

Question 1

What are the goals of correlation coefficients? 4

Answer 1

1. Estimate Rho 
2. Use in other analyses (factor analysis, multiple regression) 
3. Calculate coefficient of determination 
4. Prediction

Question 2

What is x and y in regression?

Answer 2

Predictor and criterion, respectively

Question 3

What is the predicted value of y called?

Answer 3

Y hat (sometimes y’)

Question 4

What are residuals in regression?

Answer 4

Person’s score minus person’s predicted score.

Question 5

What does the regression line achieve?

Answer 5

Least squares criterion - Minimises squared errors of prediction (y-yhat) by placing line as close as possible to all points at once.

Question 6

What is the standard error of the estimate?

Answer 6

The average amount of error in prediction (SD of the residuals). Ie; variability of real scores around the regression line.

Question 7

What are df in the standard error of the estimate?

Answer 7

N-2

Question 8

What are the variance components in regression? [formula]

Answer 8

SSy = SSregresssion + SSresidual 

sum(y-ybar )^2 = sum(yhat-ybar)^2 + sum(y-yhat)^2