Criteria of Goodness of Fit and Confidence Intervals for Polynomial Regression Models Through the Origin (i.e. Without the Intercept)

There is often a need for fitting curves for conversion characteristics or error dependencies using polynomial regression models through the origin, i.e. without the intercept. Such regression models should have the criteria for evaluating their quality, i.e. the goodness of fit, for the automated evaluation of the parameters of measuring channels, because the conventional coefficient of determination does not work well in such models.