Die Genussscheine nach schweizerischem Recht

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Monograph

Identifikator:: 897668707

URN:: urn:nbn:de:zbw-retromon-15691

Document type:: Monograph

Author:: Wolff, Pierre von

Title:: Die Genussscheine nach schweizerischem Recht

Place of publication:: Bern

Publisher:: Buchdruckerei Stämpfli & Cie.

Year of publication:: 1914

Scope:: 1 Online-Ressource (VII, 161 Seiten)

Digitisation:: 2017

Collection:: Economics Books

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Document type:: Monograph

Structure type:: Chapter

Title:: I. Abschnitt. Der Genussschein

Collection:: Economics Books

SUPPLEMENTS — FORMULA FOR REGRESSIONS. II. DIRECT DEDUCTION OF THE FORMULZE FOR REGRESSIONS. (Supplementary to Chapters I1.X. and XI1.) To those who are acquainted with the differential calculus the following direct proof may be useful. It is on the lines of the proof given in Chapter XII. § 3. Taking first the case of two variables (Chapter IX.), it is required to determine values of a, and by in the equation T=a; +b .y (where = and y denote deviations from the respective means) that will make the sum of the squares of the errors like u=z'—a, +b; .y a minimum, 2’ and y’ being a pair of associated deviations. The required equations for determining a, and ?; will be given by differentiating 2?) =3(x-a, +b, .y)> with respect to a; and to &; and equating to zero, Differentiating with respect to a,, we have S(z—a,+b;.y)=0. But 3(x) =3(y) =0, and consequently we have a,=0, Dropping a,, and differentiating with respect to b,, 3(xz—b,.y)y=0. : (zy) © That is, byw or = OE U3) ey, as on p. 171. Similarly, if we determine the values of a, and 5, in the equation y=a,+bx that will make the sum of the squares of the errors like v=y —ay+b,.x a minimum, we will find a,=0 Le Sry) +2 Et 2) oy 365

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