Author: Dr.Y.Funatsu, Professor of Meisei university, Tokyo Email@Contents of forms@Top page 
(x,y) is the sample selected from
an unknown arbitrary two-dimensio-
nal population independently with
equal probability.
Estimates are for the population
characteristics.
... 


Total frequency=
Total of x(weighted)=
Total of y(weighted)=

-Estimates-
Mean of x(unbiased)=
Mean of y(unbiased)=
Variance of x(unbiased)=
Variamce of y(unbiased)=
Standard deviation of x=
Standard deviation of y=
Coefficient of variation of x
  =
Coefficient of variation of y
  =
Covariance of x and y(unbiased)
  =
Correlation coefficient of x and y
  =
For the least squares regression
 line y=a+bx
  a=
  b=
  Residual sum of y=
  Residual variance of y=
  Coefficient of determination
    of y =
Least squares regression line
y=a+bx

....Variable......Variable.......Frequency
.......x.....................y......................f
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25 		Least squares regression line
y=a+bx

....Variable......Variable.......Frequency
.......x.....................y......................f
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50 		Least squares regression line
y=a+bx

....Variable......Variable.......Frequency
.......x.....................y......................f
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