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Interpretation of Standard deviation of the Residuals (s):
“The actual (y-context) is typically about (s) (Context/units)
away from the number predicted by the LSRL, when (x= x context).”
Interpretation of Coefficient of Determination (r²):
“About (r²%) of the variability in (y-context) is accounted for by the LSRL, when (x= x variable).”
Interpretation of correlation ( r )
“As x increases, y increases”
“As x increases y decreases”
“A pattern exists, but it’s nonlinear”
“There is no pattern”
How to describe a scatter plot in words?
FUDS
Form: linear or nonlinear
Unusual Features: outliers or clusters
Direction: positive or negative
Strength: very weak, weak, moderate, strong, very strong
Interpretation of slope
“With each additional 1 (x-context) the predicted (y-context) (increases/decreases) by (slope).”
interpretation of y intercept
when x=0 context the predicted y context is y-intercept
Interpretation of residual
The actual y-context was residual value higher/lower than predicted value for x=#