Testing the General Linear Hypothesis (cont'd)Let the full model be y = ẞ0 + ẞ1×1 + ẞ2x2 + ẞ3x3 + ε.Construct the matrix D and the vector d.Hoẞ1 = 0► Hoẞ1 = ẞ3 = 0DB = (0100)/(༠ ༩༠༠)(DP = (010-1DA² Coo000= 0DEAO=(i)Testing the General Linear Hypothesis (cont'd)Let the full model be y = ẞ0 + ẞ1×1 + ẞ2×2 + B3x3 + ε.Construct the matrix D and the vector d.► Hoẞ1 = 0 and ẞ3= −1DHoẞ1+2ẞ2 = 30100·00016012ام=Ο=d()822(-1)38=1996667 1. (Chapter 3, pp. 65-67) Consider the multiple linear regression modely = ßo + ß1x1 + ẞ2x2 + ẞ3x3 + ß4×4 + ɛ.For the general linear hypothesis approach, find the appropriate D and d.(a) Hoẞ1+2ẞ₂ = 3B1 + B2(b) Ho:= ẞ32(c) Ho B1 B2, B3 = ẞ4=(d) Hoẞ12ẞ2 = 4ẞ3, ẞ1 +2ẞ2 = 0(e) Hoẞ₁ = B₂ = ß3 = ß4

The given multiple linear regression model is as follows.

Answered: 1. (Chapter 3, pp. 65-67) Consider the…

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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A set of experimental runs were made to determine a way of predicting a parameter Z in terms of A and B. The results are represented in TABLE 1. 1) Using simple linear regression models, find the missing values in TABLE 1. 2) Using TWO (2) different methods, determine which independent variable is the most linearly related to the dependent variable? Show your calculations and discuss your results. 3) Using a multiple linear regression model, find the missing values in TABLE 1. Compare your results with those obtained in question 1) and discuss your findings. 4) Analyze and discuss the fitness of the multiple linear regression model for the data. TABLE 1. Z 22.1 12 16.5 17.9 7.2 11.8 9.2 19 22.4 12.5 24.4 11.3 14.6 18 20.9 18.9 A 37.8 45.9 a₁ 10.8 48.9 32.8 B 69.2 69.3 58.5 58.4 75 23.5 65.9 46 52.9 b₁ 55.8 18.3 19.1 53.4 22.9 22.9 a2 32.9 47.7 36.6 39.6 20.5 23.9 27.7 16.7 27.1 **The End*
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The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains.t Assume the following data are representative of the results reported. The variable type indicates whether the restaurant is an Italian restaurant or a seafood/steakhouse. Price indicates the average amount paid per person for dinner and drinks, minus the tip. Score reflects diners' overall satisfaction, with higher values indicating greater overall satisfaction. A score of 80 can be interpreted as very satisfied. (Let x, represent average meal price, x, represent type of restaurant, and y represent overall customer satisfaction.) Restaurant Туре Price ($) Score Bertucci's Italian 16 77 Black Angus Steakhouse Seafood/Steakhouse 24 79 Bonefish Grill Seafood/Steakhouse 26 85 Bravo! Cucina Italiana Italian 18 84 Buca di Beppo Italian 17 81 Bugaboo Creek Steak House Seafood/Steakhouse 18 77 Carrabba's Italian Grill Italian 23 86 Charlie Brown's Steakhouse…
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Students who complete their exams early certainly can intimidate the other students, but do the early finishers perform significantly differently than the other students? A random sample of 37 students was chosen before the most recent exam in Prof. J class, and for each student, both the score on the exam and the time it took the student to complete the exam were recorded. a. Find the least-squares regression equation relating time to complete (explanatory variable, denoted by x, in minutes) and exam score (response variable, denoted by y) by considering Sx = 15, sy = 17,r = 39.706, x = 90, ỹ = 78 b. The standard error of the slope of this least-squares regression line was approximately (Sp) is 20.13. Test for a significant positive linear relationship between the two variables exam score and exam completion time for students in Prof. J's class by doing a hypothesis test regarding the population slope B1. Write the null and Alternate hypothesis and conclude the results. (Assume that…
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