Obtain the limits for Karl Pearson's coefficient os skewness.
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- 5. a. Find the line of best fit through these points using the least squares method and the pseudo inverse. Plot the result (The best fit line and the five points should be on the graph). Ax b. Given the following five points in the (x, y) plane: (-4,-7), (-2,-3), (0, 2), (1, 3), (5,9) = Show how the slope and y-intercept of your line are related to the solution of Pb, where A can be factored to QR and P = QQ¹.Please show how to do questions, a) and b)The following data is the forward-bias characteristics of a silicon diode. Fit the data with linear, cubic spline, and 4th-degree polynomial methods. Use Vp as a and Ip as y, respectively. Ip(mA) 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 Vp(V) 0.506 0.541 0.561 0.575 0.586 0.595 0.603 0.609 0.615 Ip(mA) 1 2 3 4 5 7 8 Vp(V) 0.620 0.655 0.675 0.690 0.702 0.711 0.719 0.726 0.733 Ip(mA) 10 11 12 13 14 15 16 17 18 VD(V) 0.739 0.743 0.749 0.753 0.757 0.762 0.766 0.769 0.773 Ip(mA) 19 20 VD(V) 0.776 0.779
- Q1. Consider the two different losses: (i) zero/one loss where Ai = 0 and dij = 1 and (ii) generic loss where A;i = 0 and A;j = A,. Will the discriminants under both cases be same? Justify your answer by showing all the steps involved.You are required to find the centre (h, k) and radius (r) of the best fitting circle using the equation (x – h): + (y – k) = r given the coordinates (x, y) of four points A, B, C, and D. (Hint 1: draw a sketch) Can you use a least-squares adjustment for this task? Why or why not? (Hint 2: how many degrees of freedom are there to this problem?) What kind of adjustment would be used? Give the dimensions of the matrices and vectors to be used in the adjustment.5. Let P be the square with corners (0,0), (1,-1), (1,1), and (2,0). Compute ffpy-x dA.
- Suppose that the following table shows the annual sales, in millions of dollars, for Advanced Auto Parts and Auto Zone for 2000 through 2007. Find the least squares quadratic model for Advanced Auto Parts. Lett represents the year, with = 0 corresponding to 2000. Round all coefficients to two decimal places. Year 2000 2001 2002 2003 2004 2005 2006 2007 Advanced Auto Parts 2744 1789 1125 1037 1531 2847 3198 6250 OS=257.082-1356.11+2812.7 S=263.31²-1379.73t+2824.58 OS=259.31²-1396.29t+2767.18 OS=257.08² +1356.11+28127 OS=259.31²+1396.29t+2767.18Q. No. 2 The following table shows population of Pakistan. a) Construct the divided difference table b) Find the appropriate Newton's interpolation polynomial to approximate population in the year 1999 c) Find the error bound for the approximation. d) Find the linear least square fit for the data and compare the results of the two methods for the year 1999. 1980 7,09,58169 1990 9,82,85,755 2000 13,48,43,233 O No 3After class, a few students were wondering how letters places in other locations in the plane would - (1 1/3) - 1 four different possible results for the transformed E's. Which choice below is correct, and why? If none of the four options are correct, what would the correct option be, and why? be transformed under A = Choice A: NE (0.0) . If an "E" is placed around the "N," the students argued over Choice B: NE (0,0) Choice C: Original: E NE NE (0,0) Choice D: E NE (0,0)
