Die Wirkung der Getreidezölle

An Introduction to the theory of statistics

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Monograph

Identifikator:: 829363300

URN:: urn:nbn:de:zbw-retromon-35040

Document type:: Monograph

Author:: Lexis, Wilhelm

Title:: Die Wirkung der Getreidezölle

Edition:: Sonderabdruck

Place of publication:: Tübingen

Publisher:: Laupp

Year of publication:: 1889

Scope:: 1 Online-Ressource (40 S.)

Collection:: Economics Books

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: THEORY OF STATISTICS. minimum value, say a, 4, could be approximately estimated from such a diagram ; but it can be calculated with much more exact- ness from the condition that ¢f a’; a”; be two values close above and below the best, the corresponding values of s,, are equal. Let a, and (a, + 8) be two such values. Then if (wy = ay + brg.2g)2 = 2(2; — ay + 8 + by)? when 6 is very small, the value of a, is the best for the assigned value of b,,. But, evidently, the equation gives, neglecting the term in 82, . 3(@) = ay + byp.2) = 0, that is, a,=0 whatever the value of by, This is the direct proof of the a, ; i . Fic. 44. result that no constant term need be introduced on the right of a regression-equation when written in terms of deviations from the arithmetic mean, or that the two lines of regression must pass through the mean (Chap. IX. § 10). We may therefore omit any constant term. If, now, b,, is to be assigned the best value, we must have, by similar reasoning, for slightly differing values, 4,,, b;, +8, S(@) = byg.p)? = 3(w; — [bg + 8],)2 That is, again neglecting terms in 82 Sy(@) = bg.) = 0 or, breaking up the sum, 3 _ 2m) Lik] 12 (x2) == Ann a, 232 (c)

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