[R] Strange R squared, possible error

[derek]

Thank you for your very comprehensible answer. 
I a priori know that model y=a*x+0 is right and that I can't get x=constant
nor y=constant. 
I'm comparing performance of data gathering in my data set to another data
sets in which performance gathering is characterized by R-squared . The data
in data sets are not random but have random error with normal distribution.
The error in my data is composed of human and equipment error (normal
distribution), appliance error (probably skewed normal distribution) and
some other interferences. So I compare model y = a*x + b and y = a*x + 0 to
know the magnitude of interferences which I can't influence - the difference
of R^2's.

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