liv 



Table* fr Sl<ifi.*tician8 ami 



Hence r, h being known, }' is a tabled integral for each value of Y. Accordingly 

 by aid of Table II we know -=="** , and usim: a i|u:idraturr formula, d/ff can 



be found for each value of h,k and r. 



Table XXX gives, for r = '80, '85, '90, '95 and TOO, and values of It and / 

 proceeding by '1, the values of d/N. For given valiu-s of h, k and d/N, we can 

 then find r by interpolation from these tables. The process is far shorter than 

 that required by Table XXIX when we have to proceed to many terms. Un- 

 fortunately opportunity has not yet arisen for fully completing similar tables 

 for r negative and over '80. 



Illustrutiun. Determine the correlation in habits between Mother and Father 

 in Bradford. The data are 



Mother. 



Here (6 + d)/N= -32017, (c+d)/N = '37441, and therefore h = -4G722, A- = -32020 

 from Table II. Also d/N = 476/1696 = -28066. 



Inspection of Table XXX shows that r will be likely to lie between -90 and '95. 

 \Ve extract from the Table for d/N: 



Hence : 



Thus : 



r=-90 



^=32020 



2771 



; '.'-. h = -40722 



-32020 





