40 WICKSELL, THE CORRELATION FUNCTION OF TYPE A, AND THE REGRESSION OF ITS CHARACTERISTICS. 



If the table of i? t (?;) be used the vallies obtained for r t = ± 3.o, ± 2,5, ± 2,o, 

 ±1,5, ±l.o, ±0,5, 0,0 should be plotted against y — m 2 = ± 4,1631, ±3,4693, ±2,7:54. 



± 2,0816, ± 1,3877, ± 0,G939, ± 0,0000. 



The fit of the curves is seen from plate 1 . The scedastic curves we have 

 not computed for this example. 



Example 4. Case of considerably anormal correlation. Material due to W. 

 Johannsen. »Reine Linie > M. M. 1903. Beans. Correlation of length and breadth. 

 Class range in length 0.50 mm. ; in breadth 0,25 mm. Moments corrected for grouping. 

 The means are at 14,4043 mm. and 7.9755 mm. 



Table IV. 



9,25— 9,75 



6,25— 

 —6,50 



6,50 - 



-0,75 



0,75 — 

 —7,00 



7,oo — 

 —7,25 



7,25— 

 —7,50 



7,50— 



—7,75 



7,75— 

 —8,00 



8,00— 

 —8,25 



8,25 — 

 —8,50 



8,50- 

 —8,75 



8,75— 

 9,00 



9.00— 

 —9,25 



Total 



■'!/— ™\ 



1 

























1 



- 6,00 



9,75—10,25 



1 



:: 



1 



1 



1 

















7 



-4,28 



10,25—10,75 



1 



1 



7 























18 



-4,00 



10,75—11,25 



I 



1 



13 



11 



11 

















30 



3,11 



11,25-11,75 







12 



32 



''2 



4 















70 



2,7 4 



11,75—12,25 





2 



21 



25 



37 



27 



3 













115 



- 2,35 



12,25—12,75 







8 



35 



78 



55 



19 



3 











199 



-1.76 



12,75—13,25 







9 



28 



124 



175 



89 



12 











437 



-1,21 



13,25 13,7.", 







1 



18 



137 



301 



330 



73 



9 









929 



-0,65 



13,75—14,25 









13 



91 



409 



794 



362 



50 



2 







1787 



-0,11 



14,25 14,75 









1 



23 



230 



S71 



913 



227 



23 







2294 



1 0,50 



14,75 — 15,25 















05 



:ssr, 



950 



574 



93 





3 



2082 



+ 1,1 1 



15,25—15,75 













4 



81 



375 



494 



15C 



19 





1129 



I 1.09 



15,75—16,25 













1 



7 



44 



lo;, 



101 



17 





27T, 



1 2,27 



16,25—16,75 

















4 



18 



23 



8 



• > 



:,:, 



1 2,7 1 



16,75—17,25 





















2 



4 









+ 3,00 



Tota! 



4 



10 



72 



170 



530 



1 397 



2579 



2742 



1483 



400 



48 



5 



9440 





.'/./• n, 3 



-5.75 



— 5, (it) 



-3,47 



-2,26 



-0,73 



1 0,55 



+ 1,52 



+ 2,47 



+ 3,20 



+ 4,02 



1 !,'»! 



! 4. '-'11 







7.JS75 



13,50 



)' 20 = + 1,8483 

 ^30 = — 1,107 

 ;',„= + 12,4823 



V ll = + 1,91 IS 

 )' 2l = — 1,7850 V 12 = - 2,8748 

 )'. M = + 13,5553 »'13= + 28,3721) 



V n — + 3,24 02 



O, — + 1,3 59 5 ± 0,009 9 

 /'.to = + 0,07 3 3 

 P21 ~ + 0,26 82 

 /? l2 = + 0,3201 

 /? 03 == +0,1515 



r 30 = + 0,09 65 

 ?- u3 — — 0.028S 



» ; 03 = — 5,3057 

 ''01 = + 50,9967 



+ 0,7810 ± 0,0050 a 2 = + 1,8000 ± 0,0131 



/^o= + 0,02 7 2 

 ,':u = + 0,108 7 

 /?, 8 = + 0,2052 

 ,i ot = + 0,07 7 2 



r i0 = + 0,023S 



»'04 = — 0,0360 



