Abstract
Let Xbe a bivariate exponential-type random vector (BIDLIKAR, PATIL (1968)), than it is proved: 1. If P(X ≥0) = 1 is valid, then Xhas linear regression to both directions if and only if Xpossesses a symmetric Γ-distribution. 2. Xpossesses linear regression to both directions with constant regression coefficients (independent of the parameter vector ϑ of the exponential-type distribution (BIDLIKAR, PATIL (1968)) if and only if Xis normal distributed.
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