Linear Regression
(rs_y)/s_x
What is b_1 in the linear regression model y = b_0+b_1x ?
y-hat y
What is the residual ?
If a regression model successfully captures the underlying relationship, the residual plot should look like this
What is a random collection of points?
Each hat y tends to be closer to its mean (in standard deviations) than its corresponding x was
What is regression to the mean ?
The fraction of variability in the responses that can be explained by the model
What is R^2 ?