SIMPLE LINEAR REGRESSION. 2 Simple Regression Linear Regression.
Super Quick Review of Linear regression · 2017-08-15 · Super Quick Review of Linear regression...
Transcript of Super Quick Review of Linear regression · 2017-08-15 · Super Quick Review of Linear regression...
Super Quick Review of Linear regression
Our data are a bunch of measurements of the variables xand y
A linear model of these data:
y = mx + b + noise
(we will solve for m and b)
If this model is true, then x and y are correlated.
Hernandez-Garcia, UM FMRI course
Super Quick Review of Linear regression
If m is “significant”, then we infer that the model is true.
Significant means that m is big enough compared to the noise.
Hernandez-Garcia, UM FMRI course
Super Quick Review of Linear regression
Say it with matrices
Y = X*b + e
best = (X)-1*Y
eest = Y – X*best
Tscore(1) = best(1) /eest(1)
Hernandez-Garcia, UM FMRI course
Super Quick Review of Linear regression
In Connectivity analysis:
The MODEL for all pixels is the time course of the “seed pixel”.
Hernandez-Garcia, UM FMRI course