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<br />. <br /> <br />600,000 <br /> <br />SOME STATISTICAL TOOLS IN HYDROLOGY <br /> <br />31 <br /> <br /> / / <br /> '" ~ 1/ / '/. <br /> 'II: '" /1 <br /> '" ..., <br /> / ,(.",<:; <br /> "-"::7 <:; <br /> ","/},,,"- <br /> ~"l <br /> '/1/ j~,....'<j ::y",<:; <br /> ~~~ <br /> ....; r& <br /> ". <br /> / / <br /> / <br />{j / / I <br />~ 1/ / / i <br /> <br />300.000 <br />200.000 <br /> <br />100,000 <br /> <br />'" <br />, <br />(] <br /> <br />I' <br /> <br />10,000 <br /> <br />. <br /> <br />1000 <br />100 <br /> <br />1000 <br /> <br />Qw <br /> <br />. <br /> <br />1 <br /> <br />10 <br />A <br /> <br />100 <br /> <br />Figure 22.-Cooxial graphical multiple regression. <br /> <br />in which 78 is the intercept at P= 1.2, the <br />increase in K per tenth is 1.36, and the factor <br />1O(P-1.2) is the number of tenths above 1.2. <br />Substituting the values of K and n gives, for <br />the first relation <br /> <br />Q,dj=78(1.36)lO(P-1.21Al.28. (1) <br /> <br />The second relation, <br /> <br />, . <br /> <br />QodJ=j(8, QlO) <br /> <br />is handled by considering again that Q"J is the <br />dependent variable. Neglecting 8, the model <br />would be <br />QodJ=KQ,~. <br /> <br />The slope m is 1.78 by scaling. The intercept K <br />is computed at 8=1, Qadj=lOO,OOO, and <br />QlO=19,000, as follows: <br /> <br />100,000=K(19,000)"", <br /> <br />or <br /> <br />. <br /> <br />log 100,000=log K+1.78 log 19,000, <br />log K=5-7.60=-2.60=7.40-10, <br />K=0.0025. <br /> <br />The spacing of the lines in a vertical direction <br />(parallel to the Q'aj scale) is twice the paper <br />scale. Therefore, the intercept K varies directly <br />as 8', and the equation is <br /> <br />Qaaj=0.00258'Qt618. (2) <br /> <br />Equating equations 1 and 2 gives <br /> <br />0.00258'Ql6"= 78(1.36)10(P-l"'A,.28, <br /> <br />which, in logarithmic form, is <br /> <br />log 0.0025+2 log 8+ 1.78 log QlO=log 78 <br /> <br />+10(P-1.2) log 1.36+1.28 log A. <br /> <br />Solving for QlO gives <br /> <br />log QlO=1.61+0.72 log A-1.l2 log 8+0.75P, <br /> <br />which is the desired result. <br /> <br />Other Tools <br /> <br />Analysis of variance <br /> <br />Analysis of variance is a procedure by which <br />the variation embodied in the data of the <br />