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14-440-127 Recitation 11 Problems

14-440-127 Recitation 11 Problems - 14:440:127 Introduction...

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14:440:127- Introduction to Computers for Engineers Problems for students to attempt in Recitation 11. 1) Given the following points, linearly interpolate to find the values at x=12.4, 13.6, and 14.7 X = 10:15; Y = [21 21.8 25.3 26 27.8 30.3]; 2) Given the following points, calculate cubic splines to interpolate between these points, and then graph the originals (as X’s) and the splines on the same graph: X = 10:15; Y = [21 15 25.3 35 27.8 30.3]; 3) Find the equation of the line that best fits the following data points using least squares regression: X = 10:15; Y = [21 21.8 25.3 26 27.8 30.3]; 4) Find the equation of the 3 rd degree polynomial that best fits the following data points using least squares regression: X = 10:15; Y = [1794 2454 3224 4259 5227 6438]; 5) Find an equation for the following set of data. (Hint: plot on semilogy and loglog axes first, and then perform an appropriate linearization). X = 1:5; Y = [15 450 3600 15155 46250]; 6) Find an equation for the following set of data. (Hint: plot on semilogy and loglog axes first, and then perform an appropriate linearization).
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