Summary formula sheet for simple linear ... - NCSU Statistics
Summary formula sheet for simple linear ... - NCSU Statistics
Summary formula sheet for simple linear ... - NCSU Statistics
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2 R = Regression SS/ Total SS = "proportion<br />
explained"<br />
MSE = error mean square = estimate of 52 = Error SS/ df<br />
df= degrees of freedom = n-2 <strong>for</strong> <strong>simple</strong><br />
<strong>linear</strong>.<br />
Example<br />
Data points (x 1,y 1), (x 2,y 2), ...., (x n,y n)<br />
_<br />
(1,5), (2,7),<br />
_<br />
(3,9), (4,6), (5,8)<br />
x = 15/5=3, y = 7<br />
Corrected sum of squares <strong>for</strong> x:<br />
n _<br />
! 2 2 2<br />
(x - x) = S = (1-3) +...+(5-3) = 10<br />
i=1<br />
i xx<br />
Corrected sum of squares <strong>for</strong> y:<br />
n _<br />
! 2 2 2<br />
(y -y) = S = (5-7) +...+(8-7) = 10<br />
i=1<br />
i yy<br />
Corrected sum of cross products = S xy=<br />
n _ _<br />
! (x - x)(y -y) =<br />
i=1<br />
i i<br />
(-2)(-2)+(-1)(0)+...+(2)(1) = 5 =
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