Consider the following data set1-21 13Y₁ 12 1-1/1and the model y = a,+ a₁ sin(x)In the sense of the least square, which one of the following two choices for the model parameters fits betterthe data set?Choice 1: a = -3.8 and a₁ =-0.1Choice 2: a = -3.1 and a₁ = 4.8Enter the number of the better choice (i.e. either 1 or 2)Answer:

Given Information: x y sin(x) -2 2 -0.9093 1 -1 0.841471 3 1 0.14112 Choice 1: a0=-3.8…

Answered: Consider the following data set 1-21 13…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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X= 80, Me = 70, Lower Quartile (Qı) = 20, Upper quartile (Q3) = 100 and S.D From the data given below, ascertain (1) Pearson's Coefficient of Skewness, and (11) Bowley's Coefficient of Skewness %3D %3D %3D
Consider the following data set: (x, y) : (1.0, 5.1), (1.25, 5.79), (1.5, 6.53), (1.75, 7.45), (2.0, 8.46) If the least squares approximation of the form beax is y=(3.07) e0.5056)x then the total error is: Select one: O a. 0.150 O b. 0.0015 O c. 1.150 O d. 0.015
When developing an exam schedule, the following data were collected from the grade 12 students: 90 students study Advanced Functions 42 students study Math of Data Management 53 students study Calculus & Vectors 23 students study Advanced Functions and Math of Data Management 25 students study Calculus & Vectors and Advanced Functions 15 student study Math of Data Management and Calculus & Vectors 8 students study all three grade 12 math courses 79 students did not study any of these grade 12 math courses How many students were studying exactly two of the grade 12 math courses? 47 39 55 63
Example 7.33. Find the cubic spline interpolation for the data : 1 2 3 4 5 f(x): 1 0 1 0 1 (Anna, B.E., 2007)
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Find the best predicted value of y corresponding to the given value of x. 44) Six pairs of data yield r = 0.444 and the regression equation y = 5x + 2. Also, y = 18.3. What is the best predicted value of y for x = 5? A) 4.22 B) 18.3 C) 27 D) 93.5 44)
12.6 SCUBA divers have maximum dive times they cannot exceed when going to different depths. The datain Table 12.4 show different depths with the maximum dive times in minutes. Use your calculator to find the leastsquares regression line and predict the maximum dive time for 110 feet.X (depth in feet) Y (maximum dive time)50 8060 5570 4580 3590 25100 22Table 12.4The third exam score, x, is the independent variable and the final exam score, y, is the dependent variable. We will plot aregression line that best "fits" the data. If each of you were to fit a line "by eye," you would draw different lines. We can usewhat is called a least-squares regression line to obtain the best fit line.Consider the following diagram. Each point of data is of the the form (x, y) and each point ofthe line of best fit using leastsquares linear regression has the form (x, ŷ).The ŷ is read "y hat" and is the estimated value of y. It is the value of y obtained using the regression line. It is not generallyequal…
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Consider the following data set 1-21 13 12 1-1/1 and the model y = a + a₁ sin(x) In the sense of the least square, which one of the following two choices for the model parameters fits bet the data set? Choice 1: a = -3.8 and a₁ = -0.1