46 



BULLETIN 1339, U. S. DEPARTMENT OE AGRICULTURE 



of the spring period of the two years. The results of these calculations 

 are presented in Table 10, which also gives the relation of the actual 

 gain to the predicted gain in terms of percentage. It will be noticed 

 that the average of the predicted gains is 100.53 per cent of the aver- 

 age of actual gains. This figure, however, has no biological signifi- 

 cance, since all of the predicted gains were calculated on a daily 

 basis. 



The correlation between actual gain and predicted gain is theoreti- 

 cally obtained by the following formula: 



Tqg = -sjarGT + hrorv + cr GH + dr G Hv + er os = .8080 



The actual and predicted gains may, therefore, be expected to 

 agree within approximately 20 per cent of each other. 



In order to determine how close this calculated correlation agrees 

 with the true correlation between actual and predicted gains, the fig- 

 ures shown in Table 10 were correlated by the usual method for 

 obtaining the coefficient of correlation. 



In this case — 



r = (^-ziA— = .8844 



These two values, actual, r G </ = .8844, and predicted, r G </ = .8080, are 

 reasonably close and serve as an excellent check on all the compu- 

 tations involved. 



Table 8.— Morning loss, net gain, nocturnal loss, and intensity of weather factors 

 during the spring period, colonies AB and 2, May, 1922 and May, 1923 













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a 



a 





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a.t; 



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a 



3 



a 







o 



o 

 be a) 



2| 



.2 <D 



.33 



~ 03 







s 



a 



a 

 o 



6,0 ',3, 



s a 



la 



b 3 



03 03 



+3 CD 



■SI 



03 oj 





5s 



■ga 



Date 



o 





H 





C3 J-H 



3 



■S 



> 3 



153 .a 



03j3 



> 



CD 



_ CD 

 03 O. 



03 P. 



ca fl 



"3 -^ 



£■§ 





ho 



a 



fl 



d 



«» 



"& § 



o 



03 



"c3 > 



o3-~ 



29 



sa 



n g 



a > . 





a 



O 



a 



o 



faO 



3 



a 

 3 



3 



3 



J3 



as 

 B"8 



S =3 



3 a> 



3« 



3 s 



CO 



3 '-3 



3% 



CO "3 





'o 



CO 



o 







o 



CO 





• 3 fcj 



o 



o 



o 



o C 





O 



§ 



z 



S3 



5 



5 



H 



5 



Q 



z 



fc 



fc 



Z 



1922 





Gr'ms 



Grams 



Grams 



o F 



o F 











° F. 



O p 







May 10 



AB 



420 



980 



380 



70.8 



22 



4.8 



244.6 



78.2 



30 



68.4 



12 



97.6 



9 



11.... 



AB 



240 



5,900 



700 



83.3 



31 



14.2 



637.3 



45.4 



63 



71.3 



18 



74.0 



17 



12 



AB 



280 



2,550 



460 



70.7 



18 



6.5 



387.2 



59.5 



44 



63.3 



9 



88.8 



23 



13 



AB 



210 



2,410 



520 



74.6 



23 



9.1 



538.6 



53.8 



33 



66.9 



14 



94.9 



22 



14 



AB 



150 



2,220 



660 



74.6 



22 



6.9 



461.8 



63.2 



66 



63.2 



6 



98.3 



3 



15 



AB 



320 



1,110 



510 



73.5 



23 



10.9 



579.6 



65.9 



55 



58.9 



13 



94.3 



23 



16 



AB 



320 



1,670 



350 



76.4 



31 



12.5 



680.6 



44.9 



73 



66.2 



13 



79.4 



54 



20 



AB 



150 



3,700 



420 



76.2 



28 



9.8 



655.0 



54.7 



52 



66.9 



12 



96.3 



13 



21 



AB 



200 



3,690 



570 



80.8 



30 



10.9 



591.2 



59.7 



62 



69.5 



11 



89.2 



20 



22.... 



AB 



200 



4,610 



600 



80.7 



23 



11.4 



627.6 



62.7 



48 



68.2 



13 



96.3 



18 



23.... 



AB 



240 



4,080 



610 



80.6 



26 



12.8 



541.7 



62.3 



60 



69.0 



13 



86.3 



10 



24 



AB 



270 



3,320 



690 



80.7 



27 



14.4 



588.2 



56.2 



47 



65.4 



19 



65.6 



44 



1923 































May 18 



2 



370 



3,530 



630 



72.7 



29 



8.7 



510.7 



49.2 



62 



63.9 



12 



92.7 



21 



19.... 



2 



550 



3,080 



780 



76.3 



27 



14.4 



594.1 



50.8 



70 



62.2 



11 



87.0 



32 



20.... 



2 



390 



3,100 



960 



75.5 



23 



8.4 



445.6 



62.5 



50 



69.0 



3 



94.5 



8 



21 



2 



520 



3,240 



1,080 



76.7 



14 



8.1 



502.6 



69.7 



46 



63.6 



10 



87.4 



13 



22.... 



2 



590 



2,540 



890 



68.4 



17 



12.6 



660.9 



56.7 



42 



56.3 



11 



88.2 



26 



23.... 



2 



460 



1,140 



480 



64.7 



17 



3.7 



301.3 



50.7 



59 



52.5 



12 



92.4 



17 



24.... 



2 



150 



3,520 



740 



69.6 



32 



14.6 



653.6 



41.2 



73 



53.6 



15 



84.0 



37 



25 



2 



110 



3,960 



980 



74.6 



37 



13.7 



661.5 



38.0 



79 



58.6 



13 



73.9 



43 



26.... 



2 



130 



4,350 



840 



80.3 



35 



14.3 



672.5 



44.0 



63 



67.1 



14 



85.6 



33 



27.... 



2 



70 



4,370 



820 



84.9 



34 



13.2 



597.5 



47.8 



69 



69.3 



15 



80.6 



20 



28.... 



2 



170 



3,630 



810 



78.6 



28 



9.2 



484.1 



65.9 



47 



70.6 



10 



91.3 



11 



29.... 



2 



80 



3,940 



800 



86.3 



32 



14.2 



562.9 



50.1 



69 



71.6 



12 



83.8 



25 



30.... 



2 



510 



1,670 



580 



71.4 



12 



3.4 



263.4 



66.5 



38 



59.6 



13 



93.3 



IS 



