xlviii 



Tables for Statisticians and Biometricians [XXVIII 



it is not needful to enter separate products, the sums being reached which are 

 placed at the foot. Next from Table XXVIII we read off 



8(x) = 0, £(0 = 2(S(15 2 )), S(tf) = 0, #<y) = 2(S(15 4 )), 



S(x>) = 0, S(x«) = 2(S(U% 

 These give us : 



8 (a?) = 2480, 8 (a?) = 356,624, S (x°) = 6096,5840. 

 We have now all the numerical data for a solution. Let the required cubic be 



y — c + c 1 x + c 2 x* + c z x a . 

 Then we must make u = S (y — c — c v x — c.x* — c^x?)- a minimum. The resulting 

 equations are 



S(y) - c,8 (1) + 0, S (x) + c,S (O + c 3 S («•), 



8 (xy) = c„S (x) + Cl S (x*) + 0,8 (*») + c 3 S (x*), 

 S (x"-y) = c 8 (x*) + Cl S{o?) + c,S (of) + c,S (x>), 

 S (afy) = cS (x 3 ) + 'oJS-W + cS (^) + 0,8 («•> 



