xlvi Table* for Stti*tic!nn* tuut Rwmetrictaii* [ X X VI X \\1II 



actually these values are negative and must be subtracted from logy,, i.e. 1 '592,621; 

 the resulting values are given in the third column. In column (iv) are given 

 the an ti logarithms of the numbers in column (iii), and these must be plotted to 

 the values in column (i) to obtain the graph of the curve which is a good fit. 



(i) () (i'i) HV) 



Once the reader is used to the process it will be found to work readily, and the 

 same multipliers are kept on the mechanical calculator throughout. 



TABLES XXVII AND XXVIII (pp. 3841) 



Tables of the Powers and Sums of the Powers of the natural numbers from 1 to 

 100. (W. Palin Elderton, Biometrika, Vol. II. p. 474.) 



These tables can be used in a great variety of ways, for example in finding the 

 roots of equations, Or in fitting parabolae of various orders to curves. 



Illustration (i). Find the positive root of the equation : 

 <f> (r) = -002,7267- 7 + -057,1497- + '017,1927- 



+ -083,578^ + '088,331 J + '134,7 17 J + r - -560,386 = 0. 



Actually these values are negative, and are therefore iiibtracted from log y to give (iii). 



