Problem 10. Verify by direct calculation that in the least squares analysis of a completely ran-domized design, essentially equivalent answers are obtained whatever admissible constraint is im-posed on the treatment parameters.

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Answered: Problem 10. Verify by direct…

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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Percentages of public school students in fourth and eighth grades who were above the proficiency level were given for 8 western states 4th Grade Proficiency 8th Grade Proficiency Arizona 15 21 California 11 18 Hawaii 16 16 Montana 22 37 New Mexico 13 13 Oregon 21 32 Utah 23 26 Wyoming 19 25 Construct a scatterplot and comment on any interesting characteristics Find the least squares equation. If Nevada had a 4th grade proficiency of 14%, what would you expect the 8th grade proficiency to be?
It's a numerical analysis question. Please solve step by step
13) Identify the terms in the master equation that we used, which is given beiow, in our linear least-squares fitting procedure
Problem No. 4 Compute for the Variable Rate for utilities cost per meal served and the Fixed Cost using 1. High-Low method 2. Least Squares Regression method. MONTH December January February March April May MEALS SERVED 55 30 25 40 60 35 UTILITIES COST Php40,100.00 36,000.00 34,700.00 38,550.00 41,400.00 37,800.00
4. Find the least-squares solution of Az = b for A = N and b = 211
9. Find the equation y = ax² + bx + c of the least-square parabola that best fits the given data points (-1,0), (0,3), (1,3), (2,5), and (3,9).
The model, y = Bo + B₁×1 + ß₂×₂ + ε, was fitted to a sample of 33 families in order to explain household milk consumption in quarts per week, y, from the weekly income in hundreds of dollars, X₁, and the family size, x2. The total sum of squares and regression sum of squares were found to be, SST = 162.1 and SSE(R) = 90.6. The least squares estimates of the regression parameters are bo = -0.022, b₁ = 0.051, and b₂ = 1.19. A third independent variable number of preschool children in the household-was added to the regression model. The sum of squared errors when this augmented model was estimated by least squares was found to be 83.1. Test the null hypothesis that, all other things being equal, the number of preschool children in the household does not affect milk consumption. Use α = 0.01. Click here to view page 1 of a table of critical values of F. Click here to view page 2 of a table of critical values of F. Choose the correct null and alternative hypotheses below. A. Ho: B3 = 0 |…
What is one of the optimal conditions for the non-linear programing problem Min z= x^2+3y^2+5z^2 subject to x+y=2 and y+z=1?
4. Given the following data, do a quadratic least squares polynomial fit using P2(r) = ao + a1r + azx?. Yi Yi Yi -1.0 7.904 -0.3 0.335 0.4 -0.711 0.224 0.689 -0.9 7.452 -0.2 -0.271 0.5 -0.8 5.827 -0.1 -0.963 0.6 0.7 -0.7 4.400 -0.847 0.861 -0.6 2.908 0.1 -1.278 0.8 1.358 -0.5 2.144 0.2 -1.335 0.9 2.613 -0.4 0.581 0.3 -0.656 1.0 4.599
Given the data points: (2,4), (?,8), (5,8), (6,5) and (17,4) , indicate In (y -Cs ) = Cz + Inx using Least Square Method. Note : For In (x) where x is a negative value, just write the expression and no need to evalu ate since In of a negative number is undefined.

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Problem 10. Verify by direct calculation that in the least squares analysis of a completely ran- domized design, essentially equivalent answers are obtained whatever admissible constraint is im- posed on the treatment parameters.