Simple Linear Regression Flashcards
SLR model equation
SLR equation formatted for sample variables
LSE of β1
LSE of β0
Sxy
Sxx
(two forms)
β̂1 form with means
β̂1 form sample correlation
Sample standard deviation of x sx
Sample standard deviation of y sy
Sample correlation between x and y, r
Residual Sum of Squares
Total sum of squares
R2
Reg SS in terms of β̂1
Reg SS = β̂12Sxx
Relationship between the correlation coefficient and coefficient of determination in an SLR model
TSS in terms of s2y
RSS equation using R2
Reg SS equation using R2
Mean squared error
Residual standard error
F-statistic
F-statistic in terms of R2
Variation of β̂0
Variation of β̂1
Estimated Variation of β̂0
Estimated Variation of β̂1
t-statistic
Standard error of β̂0
Standard error of β̂1