Table 25. 57 



LEAST SQUARES. 



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 probable error r is equal to 0.47694 / h. 



0.0 



O.I 



0.2 



0-3 

 0.4 



0.5 



0.6 

 0.7 

 0.8 

 0.9 



1.0 



I.I 

 1.2 



1-3 



1.4 



1.5 



1.6 



1-7 

 1.8 

 1.9 



2.0 



2.1 

 2.2 



2-3 



2.4 



25 



2.6 

 2.7 

 2.8 

 2.9 



00000 

 05378 

 10731 

 16035 

 21268 



26407 



31430 

 36317 

 41052 

 45618 



50000 

 54188 

 58171 

 61942 

 65498 



68833 

 71949 

 74847 

 775-8 

 79999 



82266 



84335 

 S6216 

 87918 

 89450 



90825 

 92051 

 93141 

 94105 

 94954 







.95698 

 .99302 

 .99926 



00538 

 05914 

 1 1 264 

 16562 

 21787 

 26915 

 31925 

 3679S 

 41517 

 46064 



50428 



54595 

 58558 

 62308 

 65841 



69155 

 72249 

 75124 



77785 

 S0235 



82481 



84 53 1 

 86394 

 88078 

 89595 



90954 

 92166 



93243 

 94195 

 95033 



1 

 .96346 

 •99431 

 •99943 



01076 

 06451 

 1 1 796 

 17088 

 22304 



27421 

 32419 



37277 

 41979 

 46509 



50S53 

 55001 



58942 

 62671 

 66182 



69474 

 72546 

 75400 

 78039 

 80469 



82695 

 84726 

 86570 

 88237 

 8973S 

 910S2 

 92280 



93344 

 94284 

 95111 



2 



.96910 



•99539 

 .99956 



01614 

 06987 

 12328 

 17614 

 22821 



27927 

 3291 1 



37755 

 42440 

 46952 



51277 

 55404 

 59325 

 63032 

 66521 



69791 

 72841 



75674 

 78291 

 80700 



82907 

 84919 

 86745 

 88395 

 89879 

 91208 

 92392 

 93443 

 94371 

 95187 



•97397 

 99627 

 .99966 



02152 



07523 

 12860 

 18138 

 23336 



28431 

 33402 

 38231 

 42899 



47393 



51699 

 55S06 



59705 

 63391 

 66858 



70106 

 73134 

 75945 

 78542 

 80930 



S3117 

 85109 

 86917 

 88550 

 90019 



91332 

 92503 

 ■93541 

 94458 

 95263 



4 



.97817 

 .99700 

 .99974 



02690 

 08059 



1 3391 

 18662 



23851 



28934 

 33892 

 38705 

 43357 

 47832 



52119 

 56205 

 60083 

 63747 

 67193 

 70419 



73425 

 76214 

 78790 

 ,81158 



83324 

 85298 

 87088 

 88705 

 90157 



91456 

 92613 

 93638 

 94543 

 95338 



.98176 

 .99760 

 .99980 



,03228 

 08594 

 1 392 1 

 191S5 

 24364 



29436 

 34380 

 39178 



43813 

 48270 



52537 

 56602 

 60460 

 64102 

 67526 



70729 



73714 

 76481 

 79036 

 81383 



83530 

 85486 

 87 258 

 88857 

 90293 



91578 

 92721 



93734 

 94627 

 95412 



6 



.98482 



.99985 



03766 

 09129 



14451 

 19707 

 24876 



29936 

 34866 



39649 

 44267 

 48705 



52952 

 56998 

 60833 

 64454 

 67856 



71038 

 74000 

 76746 

 79280 

 81607 



83734 

 85671 

 87425 

 S9008 

 90428 



91698 

 92828 

 93828 

 947 1 1 

 95484 



•9S743 

 .99848 

 .999S8 



04303 

 09663 

 14980 

 20229 

 25388 



30435 

 35352 

 401 18 



44719 

 49139 



53366 



57391 

 61205 

 64804 

 68184 



71344 

 74285 

 77009 

 79522 

 81828 



83936 

 85854 

 87591 



89157 

 90562 



91817 



92934 

 93922 



94793 

 95557 



8 



.98962 

 .99879 

 .99991 



04840 

 10197 

 15508 



20749 

 25898 



30933 

 35835 

 40586 

 45169 

 49570 



53778 

 57782 



61575 

 65152 

 68510 



71648 



74567 

 77270 

 79761 

 82048 



84137 

 86036 



S7755 

 89304 

 90694 



91935 

 93038 

 94014 



94874 

 95628 



.99147 

 •99905 

 •99993 



Table 26. 

 LEAST SQUARES. 



Values of the factor 0.6745\/-^. 



\ M— 1 



This factor occurs in the equation r, =z o.6745\ / ■- ^°^ ^^^ probable error of a single observation, and other 



\ « — I 



Smithsonian Tables. 



