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In this paper we give the expression of the multiple
correlation coefficient in a linear model according to the coefficients
of correlation. This expression makes it possible to analyze from a
numerical point of view the instability of estimates in the case of
collinear explanatory variables in the linear model or in the
autoregressive model. This numerical approach, that we show on two
examples, thus supplements the usual approach of the quasi colinearity,
founded on the statistical properties...
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