Table of Contents
Stats, Volume 2, Issue 4 (December 2019) – 5 articles
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Cover Story (view full-size image) This paper demonstrates the dependence of the linear regression on the selection of the reference [...] Read more. This paper demonstrates the dependence of the linear regression on the selection of the reference frame. Both the slope of the fitted line and the corresponding Pearson’s correlation coefficient can be expressed in terms of the rotation angle. Then, the correlation coefficient can be maximized for a particular, optimal angle, for which the slope attains a special optimal value. The optimal angle, the value of the optimal slope, and the corresponding maximum correlation coefficient are expressed not only in terms of the covariance matrix, but also in terms of the slopes derived from the non-rotated and right-angle-rotated fittings.View this paper.