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r <br />-19- <br />In this case, in order to simplify the regression analysis, equation (9), the <br />expression for the confidence interval, equation (13) and the equation for the <br />standard deviation has become more complex. Where the standard deviation is: <br />(log V - log V)2 - ~~(log SD - log SD)(loq V - log V)~2/ ~(log SD - log SD)I <br />SV d = -r- t <br />n-2 <br />The minimum and maximum value for the velocity are calculated. These are <br />summarized below: <br />Scaled Distance Vmax Vmin <br />(ft lb. ) (ips) ips) <br />4 13.65 0.407 <br />6 6.45 0.272 <br />8.8 5.90 0.201 <br />10 4.68 0.162 <br />60 .658 0.023 <br />100 .388 0.013 <br />600 .067 0.0015 <br />The power formula is now corrected for the variance a[ the scaled distance <br />where the peak particle velocity, as determined by the power function, is one <br />inch per second. Solving the Dower function for a velocity of one inch per ~• <br />second yields a scaled distance of 8.8. The data, regression line, and <br />confidence belts are plotted in Figure 4. <br />Calculating the confidence interval for a scaled distance of 8.8 yields a peak <br />particle velocity maximum of 5.9 inches Der second at the 95 Y. confidence <br />level. It is this value that is used to correct the velocity intercept of the <br />power function to obtain the final site specific velocity propogation <br />equation. This correction is performed by dividing Vmax by V or, in this <br />case, dividing 5.9 inches per second by one inch per second. Thls value is <br />then multiplied by the velocity intercept of the power function to obtain the <br />corrected intercept value or: <br />bVmax 10.63 (5.93) <br />H V ~ 1 ~ 62.7 <br />Where: <br />b = velocity intercept of power function <br />Vmax = velocity maximum as predicted by confidence interval <br />equation <br />V - velocity for which confidence level was predicted <br />H = velocity intercept for site specific propogation <br />equation <br /> <br /> <br />