Lecture 18 - York University
[Pages:2]Lecture 18 Correlation analysis and regression
Correlation coefficient r t- test for significance of correlation
Reading materials: Chapter 10 (or 11 website learning center) of text book
Pearson product moment correlation coefficient (PPMC)
1
r = n -1
(xi - x)( yi - y)
sxsy
Last square fit
LS is a method which finds a linear regression line to fit the data with minimum standard error:
SE = 1
n -1
( y^i - y)2 = min
and the regression model involves two regression coefficient a and b
y^ = a + bx
where the estimates of the two parameters are
y = a + bx b = r sy
sx a is the intercept and b is the slop of the regression line
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