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Sample correlation Coefficient:
Y decreases an ______ for every 1 std Deviation increase of X.
bo:
Predicted Y are _____ when X=0.
b1:
Y decreased an average of _____ for every additional X. / for every 1 point increase in X.
If one says decrease, both will say decrease.
Residual:
Because it’s negative, the module overpredicted.
Overpredicted
Underpredicted
Perfect fit
R²:
75.4% of the variation in Y was explained by the model.
True relationship
B1
We are 95% confident that B1 lies inside of the interval.
ME:
Our model is 95% confident that the slope we drew fell within 2.93 Y points of the true slope/ true relationship between X and Y.
( , )
Due to - , + , It will be barely insignificant.
The model can not say with 95% confidence that B1 is negative or positive, so it’s insignificant.
Individual significance test:
Ho
Ho
We don’t reject Ho with X=0.05. X is statistically insignificantly related to Y.
-if we reject Ho, we’ll say that X is significantly related to Y. AND we found evidenve that B1 is not =0.
-If we don’t reject Ho, we’ll say that X is insignificantly related to Y. AND we found no evidence of a relationship.
True mean
We are 95% confident that the true mean Y given x=5 lies inside the interval.
Prediction interval
We are 95% confident that Y given x=5 lies inside the interval.