ee231_ass8_sol - EE 231_B1 Numerical Analysis for...

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EE 231_ B1 Numerical Analysis for Electrical and Computer Engineers Course Instructor: Dr. Sergiy Vorobyov - 1 - Solutions to Assignment 8 13.2 The data can be sorted and then grouped. We assume that if a number falls on the border between bins, it is placed in the lower bin. The histogram can then be constructed as 13.7 The function can be linearized by dividing it by x and taking the natural logarithm to yield Therefore, if the model holds, a plot of ln( y / x ) versus x should yield a straight line with an intercept of ln α 4 and a slope of β 4 . lower upper Frequency 7.5 8 1 8 8.5 0 8.5 9 4 9 9.5 7 9.5 10 6 10 10.5 5 10.5 11 1 11 11.5 1
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EE 231_ B1 Numerical Analysis for Electrical and Computer Engineers Course Instructor: Dr. Sergiy Vorobyov - 2 - Therefore, β 4 = 2.4733 and α 4 = e 2.2682 = 9.661786, and the fit is This equation can be plotted together with the data: 13.10 (a) The exponential fit can be determined with the base-10 logarithm as x y ln( y / x ) 0.1 0.75 2.014903 0.2 1.25 1.832581 0.4 1.45 1.287854 0.6 1.25 0.733969 0.9 0.85 -0.05716 1.3 0.55 -0.8602 1.5 0.35 -1.45529
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