Author: Dr.Y.Funatsu, Professor of Meisei university, Tokyo Email@Contents of forms@Top page
In this page, x is not a random vari-
able, but a variable that takes known
n values. y is a random variable that
relates with x through regression by 
y=a+bx, and...see 
..
Sample size=
Mean of x=
Total variation of x=
Mean of y=
Total variation of y=
Total covariation of x and y
  =
Correlation coefficient of x and y
  =
Coefficient of determination of y
  =

-Estimates-
For the regression line y=a+bx
(unbiased for a)=
(unbiased for b)=
2(Sample residual sum of squares)
  =
s2(unbiased for 2)=
s=
Sample variance of (unbiased for
  V())=
Sample standard deviation of 
  =
Sample variance of (unbiased for
  V())=
Sample standard deviation of 
  =
Sample covariance of  and 
 (unbiased for Cov(,))=
Sample correlation coefficient
  of  and =
For a time series (Input in order
  of time)  Durbin-Watson statis-
  tic DW=

Least squares regression line
y=a+bx

.....Variable.....Random.....Sample
.......x...................variable y....size
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Least squares regression line
y=a+bx

.....Variable.....Random.....Sample
.......x...................variable y....size
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Least squares regression line
y=a+bx

.....Variable.....Random.....Sample
.......x...................variable y....size
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