Stuff that I should remember for FRQ's LMFAOo
Explanatory
use to predict (input) (always x)
Response
outcomes (output) (always y)
What does DUFS stand for
D: Direction
U: Unusual feature (outliers/clusters)
F: Form (linear/not linear)
S: Strength (strong/moderate/weak)
Properties of r
unusual value in pattern = strengthen r
unusual value in pattern = weaken r
r has no units
changing units for x & y doesn’t change r
correlation doesn’t equal causation
How do you find a residual?
Actual - Predicted (A-P)
residual interpretation
The actual (context) was (residual) (above/below) the predicted value for (x = #).
y-intercept interpretation
When (x = 0 context) the predicted (y context) is (y-int)
slope interpretation
With each additional (x context) the predicted (y context) (increases/decreases) by (slope)
standard deviation interpretation
The actual (y context) is typically about (s) away from the number predicted by the LSRL (least-squares regression line)
Coefficient of Determination (r²) interpretation
About (r²%) of the variability in (y context) is accounted for by the LSRL
What should you do when checking for the best models?
check scatterplot for linear
check residual plot for random scatter
check r² closest to 1