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An Introduction to the theory of statistics

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Monograph

Identifikator:: 1024891038

URN:: urn:nbn:de:zbw-retromon-59598

Document type:: Monograph

Author:: Wygodzinski, Willy http://d-nb.info/gnd/117348171

Title:: Einführung in die Volkswirtschaftslehre

Edition:: Dritte, durchgearbeitete Auflage

Place of publication:: Leipzig

Publisher:: Verlag von Quelle & Meyer

Year of publication:: 1920

Scope:: 1 Online-Ressource (149 Seiten)

Collection:: Economics Books

Usage license:: Get license information via the feedback formular.

IX.—CORRELATION. EXERCISES. 1. Find the correlation-coefficient and the equations of regression for the following values of X and ¥. [As 4 matter of practice it is never worth calculating a correlation-coeflicient for so few observations: the figures are given solely as a short example on which the student can test his knowledge of the work. ] 2. The following figures show, for the districts of Example i., the ratios of the numbers of paupers in receipt of outdoor relief to the numbers in receipt of relief in the workhouse. Find the correlations between the out-relief ratio and (1) the estimated earnings of agricultural labourers; (2) the percentage of the population in receipt of relief. 6°40 14 750 27 2:97 4°04 15 4-44 28 538 : 7:90 16 834 29 3-24 3-31 17 0°69 30 7-61 785 i 9-89 a 5-87 045 i 4-00 &2 550 10-00 Zu 602 ao 3:58 4°43 2. 827 el 6-93 478 22 158 Ly 6°02 1 4-73 23 1604 36 4-92 1 6°66 24 1-96 37 4°64 1 1:22 25 9-28 38 10°56 13 427 26 872 3. Verify the following data for the under-mentioned tables of the preceding chapter. Calculate the means of rows and columns and draw diagrams showing the lines of regression, as figs. 36-39. for one or two cases at least. vo 1: VI Mean of X . - 00 mm, 4° years 6770ins. 5b 509-2 aly r , 53.0, Barz? "Vege CL. 14,500 tandar evia- 2 . . tion of X : g ? i » | 272, g 7:46 Standard devia- 2 tion of 7. : : - » Es.» 18,100 ries eed © en © nl enn Coefficient of con- - - tingency (for the o grouping stated : = below) . 3 189 0°90 0°81 051 031 17

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