Linear Regression and Multiple Regression

what is the equation for R2

SSR / SST

What does RSE stand for?

residual standard error

What is RSE used for?

expected variability of response variable about the regression line

How do you obtain coefficient estimates?

Minimizing Error Sum of Squares (SSE)

Sum of Squares Decomposition equation

SST = SSE + SSR

What do coefficient estimates describe?

marginal change of the dependent variable due to marginal change in the given regressor

what are t values used for?

determining if independent variable has a significant relationship with the dependent variable

what is the formula for the t-value?

estimated coefficient / standard error of the coefficient

t-values are associated with what?

p-value

if the p-value is small, the t-value is ___

significant

In R output, what feature measures how accurate the estimated coefficient is?

standard error

what is this formula for?

adjusted R2

in multiple regression, what is the F test used for?

Determining if significant relationship exists between dependent variable and at least one of the independent variables

what does R2 describe?

the quality of the fit of the model

High R2 means?

Good fit

What is the difference between adjusted R2 and R2?

Adjusted R2 accounts for the number of predictors in the model