Tables 25 and 26 

 LEAST SQUARES 



TABLE 25 



This table gives the values of the probability P, as defined in last table, corresponding to different values of 

 x I r where r is the " probable error." The psobable error r is equal to 0.47694/ h. 



57 



0.0 



0.1 



0.2 



o-3 

 0.4 



0.5 



0.6 



0.7 

 o.S 

 0.9 



1.0 



1.1 

 1.2 



i-3 

 1.4 



1.5 



1.6 



i-7 

 1.8 



1.9 



2.0 



2 -3 

 2.4 



2.5 



2.6 



2-7 

 2.8 

 2.9 



00000 

 05378 



1073 1 

 16035 

 21268 



26407 

 3'430 

 3 6 3 l 7 



41052 

 45618 



50000 

 54 1 88 

 58171 

 61942 



65498 



68833 

 71949 

 74847 

 775 28 

 79999 

 82266 



84335 

 86216 

 87918 

 8945° 

 90S 2 5 

 92051 



93MI 

 94105 



94954 







.95698 

 .99302 

 .99926 



00538 

 05914 

 1 1 264 

 16562 

 21787 

 26915 

 3^25 

 3 6 798 

 4i5 J 7 

 46064 



50428 



54595 

 58558 

 6230S 

 65S41 



69155 

 72249 



75 I2 4 

 77785 

 80235 



82481 



s 453 r 

 86394 

 88078 



89595 

 90954 

 92166 

 93243 

 94195 

 95033 



1 

 .96346 

 •9943 1 

 •99943 



01076 

 06451 

 1 1 796 

 1708S 

 22304 



27421 

 324'9 

 37277 

 41979 

 46509 



50853 

 55001 



58942 

 62671 

 66182 



69474 

 72546 

 75400 

 78039 

 80469 



82695 

 84726 

 S6570 

 S8237 

 89738 

 91082 

 92280 

 93344 

 94284 

 951 1 1 



2 



.96910 

 •99539 

 •99956 



01614 

 06987 

 12328 

 17614 

 22S21 



27927 

 3291 1 

 37755 

 42440 

 46952 



51277 

 55404 

 5932 5 

 63032 

 66521 



69791 

 72841 

 75674 

 78291 

 80700 



82907 

 84919 

 86745 

 88395 

 89879 

 91208 

 92392 

 93443 

 94371 

 95 lS 7 



•97397 

 99627 

 .99966 



02152 



07523 

 12860 

 18138 

 23336 



28431 

 33402 

 38231 

 42S99 



47393 

 51699 

 55S06 

 59705 

 6339 1 

 66858 



70106 

 73134 

 75945 

 78542 

 80930 



S3"7 



85109 

 86917 

 88 5 50 

 90019 



9' 332 



92503 



93541 

 9445 s 

 95 2 63 



.97817 

 .99700 

 •99974 



02690 

 08059 



1 339i 

 18662 

 23851 



2S934 

 33892 

 38705 

 43357 

 47832 



52119 



56205 

 600S3 

 63747 

 67 '93 

 70419 



7342 5 

 76214 

 78790 

 81 1 58 



83324 

 85298 

 87088 

 88705 

 90157 



91456 

 92613 

 93638 

 94543 

 95338 



.98176 

 .99760 

 .99980 



03228 

 08594 

 1 392 1 

 19185 

 24364 



29436 

 3438o 

 39'78 



43813 

 48270 



52537 

 56602 

 60460 

 64102 

 67526 



70729 



737M 

 76481 

 79036 

 81383 



83530 

 85486 

 87258 



88857 

 90293 



91578 

 92721 



93734 

 94627 

 95412 



.9S482 

 .99808 

 •99985 



03766 

 09129 

 14451 

 19707 

 24876 



29936 

 34866 



39649 

 44267 

 48705 



52952 

 56998 

 60833 



64454 

 67856 



71038 

 74000 

 76746 

 792S0 

 81607 



83734 

 85671 

 87425 

 89008 

 90428 



91698 

 92828 

 93828 

 947 1 1 

 95484 



•98743 

 .99848 

 .9998S 



04303 

 09663 

 149S0 

 20229 

 25388 



30435 

 35352 

 401 18 



447'9 

 49 '39 

 53366 



57391 

 61205 

 64804 

 681S4 



71344 



74285 

 77009 

 79522 

 81828 



83936 

 85854 

 87591 

 89157 

 90562 



91817 



92934 

 93922 



94793 

 95557 



8 



.99879 

 .99991 



04840 



10197 

 15508 

 20749 

 25898 



30933 



35835 

 40586 

 45169 

 49570 



53778 

 57782 



6'575 

 65152 

 68510 



71648 

 74567 

 77270 

 79761 

 82048 



84137 

 86036 



87755 

 89304 

 90694 



91935 

 93038 

 94014 



94874 

 95628 



.99147 

 •99905 

 •99993 



TABLE 26. — Values of the factor 0.6745 1 



This factor occurs in the equation r a = 0.6745-%/ — — f° r tne probable error of a single observation, and other 



\ 11 — i 



similar equations. 



Smithsonian Tables 



