Fit a least-squares parabola having the form y = a + bx + cx to the given data.X1.21.83.14.95.77.18.698y4.55.977.87.26.84.52.7Write only the letter corresponding to the correct answer.value of aA) 1.389 B) 2.588C) 2.075 D) 0.2110value of bA) 1.389 B) -2.588C) 2.065 D) 0.2110value of cA) -1.389 B) 2.588C) -2.085 D) -0.2110Estimate the of y at x=1.2,A) 4.76 B) 2.58 C) -3.56 D) 5.55

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Answered: Fit a least-squares parabola having the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Á. Find the values of A and B to fit a curve of the following form to the given data. a) y A b) y =+B %3D Ax+B 3. -1 0.1 1 1.35 0.89 y 6.62 3.94 2.17 Calculate the least-squares error and determine which model represents the data better. Plot the data and the non-linear model.
Answer this question “CORRECTLY “!!!
Make a scatter plot of the data and determine which type of model best fits the data. linear quadratic exponential cubic
Q3. x2 3 9 4 16 7 49 9 81 Total 23 155 Here is part of a calculation in a spreadsheet working with population of 4 data items data. Which statement is incorrect? A. Σχ23 & Σx? 155 В. Е(x) %3D 5.75 C. The square of the sum of the x values is 155. D. µ = 5.75
Fit a least-squares parabola having the form y = a + bx + cx² to the given data. 1.8 4.9 5.7 5.9 7.8 7.2 X y 1.2 4.5 3.1 7 Write only the letter corresponding to the correct answer. Find the linear coefficient between x and y. Find the non linear coefficient of the parabolic relationship between x and y Interpretation or r in number 1 and 2. 7.1 6.8 ir is 8.6 4.5 A) -0.29 B) 0.29 9.8 2.7 C) -0.37 D) 0.37 A) 0.99 B) 0.88 C) 0.77 D) 0.66 A) x and y have very good negative linear relationship B) x and y have good positive linear relationship C) x and y have good negative non linear relationship D) x and y have very good positive non linear relationship What percentage of the total variation remains unexplained by the assumption of a parabolic relationship between x and y? A) 0.75 B) 1.78 C) 2.33 D) 3.75
What is the coefficient of x² term in the least-squares parabola prepared for the data in the table below? X y 1 2 2 6 3 7 4 8 5 10 6 11 7 11 8 10 9 9
Consider the data set t = [-1 3 4 6] and x=[2, -14, -20, -31]. Show the details of your solution in the file. 1. Find the coefficient 'm' in the restricted equation x = m t of the least squares fit parabola. m = 2. Find the minimized squared error. E? = Round your answers to 3 significant figures.
We use the form ŷ = a + bx for the least-squares line. In some computer printouts, the least-squares equation is not given directly. Instead, the value of the constant a is given, and the coefficient b of the explanatory or predictor variable is displayed. Sometimes a is referred to as the constant, and sometimes as the intercept. Data from a report showed the following relationship between elevation (in thousands of feet) and average number of frost-free days per year in a state. A Minitab printout provides the following information. Predictor Coef SE Coef T P Constant 315.27 28.31 11.24 0.002 Elevation -31.812 3.511 -8.79 0.003 S = 11.8603 R-Sq = 96.8% Notice that "Elevation" is listed under "Predictor." This means that elevation is the explanatory variable x. Its coefficient is the slope b. "Constant" refers to a in the equation ŷ = a + bx. (a) Use the printout to write the least-squares equation. ŷ = + x (b) For each 1000-foot increase in elevation,…
We use the form ŷ = a + bx for the least-squares line. In some computer printouts, the least-squares equation is not given directly. Instead, the value of the constant a is given, and the coefficient b of the explanatory or predictor variable is displayed. Sometimes a is referred to as the constant, and sometimes as the intercept. Data from a report showed the following relationship between elevation (in thousands of feet) and average number of frost-free days per year in a state. A Minitab printout provides the following information. Predictor Coef SE Coef T P Constant 316.62 28.31 11.24 0.002 Elevation -30.516 3.511 -8.79 0.003 S = 11.8603 R-Sq = 96.2% The printout gives the value of the coefficient of determination r2. What is the value of r? Be sure to give the correct sign for r based on the sign of b. (Round your answer to four decimal places.) What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares…
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H.W.3: Find a 4th order equation to fit the following set of data using: a) Direct fit polynomial. b) Least square method. -П - Π12 П/2 П y -1 1
Test the following data table to see whether the data are quadratic. x 0 4 16 32 44 y 4 12 16 12 20 Calculate the first-order and second-order differences.

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