TABLE 25.— LEAST SQUARES 



Part 1.— Values of the factor 0.8453 



\ n(n_i; 



This factor occurs in the approximate equation r = 0.8453 

 error of a single observation. 



2r 



„ 12 3 4 



00 0.5978 0.3451 0.2440 



10 0.0891 0.0806 .0736 .0677 .0627 



20 .0434 .0412 .0393 .0376 .0360 



30 .0287 .0277 .0268 .0260 .0252 



40 .0214 .0209 .0204 .0199 .0194 



50 0.0171 0.0167 0.0164 0.0161 0.0158 



60 .0142 .0140 .0137 .0135 .0133 



70 .0122 .0120 .0118 .0117 .0115 



80 .0106 .0105 .0104 .0102 .0101 



90 .0094 .0093 .0092 .0091 .0090 



Vn(n-l) 



45 



for the probable 



5 6 7 8 9 



0.1890 0.1543 0.1304 0.1130 0.0996 



.0583 .0546 .0513 .0483 .0457 



.0345 .0332 .0319 .0307 .0297 



.0245 .0238 .0232 .0225 .0220 



.0190 .0186 .0182 .0178 .0174 



0.0155 0.0152 0.0150 0.0147 0.0145 



.0131 .0129 .0127 .0125 .0123 



.0113 .0112 .0111 .0109 .0108 



.0100 .0099 .0098 .0097 .009o 



.0089 .0089 .0088 .0087 .0086 



Part 2.— Values of 0.8453 



1 



n Vn — 1 



This factor occurs in the approximate equation r = 0.8453 

 error of the arithmetical mean. 



2M 



mVh- 1 



for the probable 



12 3 4 



00 0.4227 0.1993 0.1220 



10 0.0282 0.0243 .0212 .0188 .0167 



20 .0097 .0090 .0084 .0078 .0073 



30 .0052 .0050 .0047 .0045 .0043 



40 .0034 .0033 .0031 .0030 .0029 



50 0.0024 0.0023 0.0023 0.0022 0.0022 



60 .0018 .0018 .0017 .0017 .0017 



70 .0015 .0014 .0014 .0014 .0013 



80 .0012 .0012 .0011 .0011 .0011 



90 .0010 .0010 .0010 .0009 .0009 



5 6 7 8 9 



0.0845 0.0630 0.0493 0.0399 0.0332 



.0151 .0136 .0124 .0114 .0105 



.0069 .0065 .0061 .0058 .0055 



.0041 .0040 .0038 .0037 .0035 



.0028 .0027 .0027 .0026 .0025 



0.0021 0.0020 0.0020 0.0019 0.0019 



.0016 .0016 .0016 .0015 .0015 



.0013 .0013 .0013 .0012 .0012 



.0011 .0011 .0010 .0010 .0010 



.0009 .0009 .0009 .0009 .0009 



SMITHSONIAN PHYSICAL TABLES 



