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<br />-ls- <br /> <br /> Peak Particle <br />Shot Number Scaled Distance Velocity (IPS) <br />18 23.4 .36 <br />19 16.4 .31 <br />20 22.4 .17 <br />21 14.1 .07 <br />22 8.0 .35 <br />23 17.7 .95 <br />24 10.3 1.31 <br />25 8.4 .76 <br />26 18.4 .80 <br />27 48 .10 <br />28 97 .12 <br />29 37 .07 <br />30 31 .38 <br />31 48 .26 <br />The firs[ step is to perform a regression analysis on the variables, log <br />(scaled distance), log (peak particle velocity). The results of this <br />regression analysis are as follows: <br />y intercept = 1.0268 <br />slope = 1.0867 <br />Correlation Coefficient (s 2) _ .8057 <br />Goodness of Fit (r) .898 <br />Taking the anti-log of the y intercept and putting the constants into Che <br />Dower formula yields: _~ oe6~ <br />V=10.64( D ) <br />/W <br />The error belts are now calculated using the individual variances based on n-2 <br />or in this case 29 degrees of freedom. The value for 29 degrees of freedom <br />for the Drobability [ha[ 95 Y, of the time the velocity will be wiChin the error <br />belts (d =.OS) is 2.045 t.pS . Based on the equation: <br />CI = log V + m(log SD - log SD) ~ t os S~,d I + ~ + n(log SD - log SD)Z (13) <br />E(lag SD - l09 SD)Z <br />Where: 1 <br />CI Confidence interval on an individual peak particle <br />velocity <br />V Peak particle velocity <br />SD Scaled distance <br />m - Decay coefficient (slope) <br />log v ~ Mean of the log peak particle velocities <br />log SD Mean of the log scaled distances <br />t us ~ Two-tailed t-value; where df=n-2 and d =.OS <br />Sv.d ~ Standard deviacion of log peak particle velocity for <br />fixed log scaled distance <br /> <br />