Linear Regression Model Formula. To explore this relationship we can perform simple linear regression using hours studied as an explanatory variable and exam score as a response variable. Linest b2 b21 a2 a21 true true.
Y β 0 β 1 x 1 β 2 x 2 β p xp where. The first line of code makes the linear model and the second line prints out the summary of the model. To explore this relationship we can perform simple linear regression using hours studied as an explanatory variable and exam score as a response variable.
β1 is the slope.
The equation of linear regression is similar to the slope formula what we have learned before in earlier classes such as linear equations in two variables. In fact everything you know about the simple linear regression modeling extends with a slight modification to the multiple linear regression models. Y β 0 β 1 x 1 β 2 x 2 β p xp where. F y s y r x y x x s x.