In linear models the Variance-Covariance matrix plays key role when estimating the parameters.State the variance-covariance structure of Population-averaged models: ( generalized estimatingequations-GEE) for B and Subject-specific models: Likelihood methods based on yi - MVN (Xy,V)to estimate y and parameters in V,Show that for OLS Y = X'B + ɛ the estimator B can be derived to B = (X'X)¯'x'Y with%3DVar(ß) = (X'X)-'o?

In linear models, the variance-covariance matrix plays a key role when estimating the parameters.…

Answered: In linear models 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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Use RStudio to fit a simple linear regression model to the data below. Please submit a copy of your code and any appropriate output (a photo/screenshot will be sufficient). 300? Is the fitted linear regression model What is the 95% prediction interval for xo = appropriate for this data, and which assumption appears to be violated if not? dataset <- data.frame ( с (294, 247, 267, 358, 423, 311, 450, 534, 438, 688, 630, 709, 627, 1021, 615, 700, 999, 1250, 1015, 850, 980, 1650, 1025, 1200, 1500), у 3 с (30, 32, 37, 44, 47, 49, 56, 62, 68, 80, 84, 88, 97, 97, 100, 106, 109, 112, 117, 128, 130, 135, 160, 180, 210) X = %3D
c) Give the expression of R˜^2 in terms of R^2 , and justify your answer.
If Linear correlation coefficient r = 0.794556 Coefficient of determination = 0.631319 Equation of regression line is y = 16.5523 + %3D 0.725938x then both variables are moving in the same direction. A True В False
Find the least square regression line.
5- A pipeline contractor is developing parametric cost models to estimate cost of a new 16" pipeline project. The contractor is using data of 7 previous 16" pipeline projects given below to develop the models. The contractor is considering two (inear and bilinear) regression models. a) Which regression model should be selected for estimating? Explain why? b) Using the model selected estimate the total cost of a 12 km, 16" pipeline with Year Index=900. Year Index Cost (TL/m) 100 15.6 200 30.4 300 52.8 400 81.7 500 134.8 600 165.0 700 272.6 Hint: To developed the models use Excel regression tool, and fill the related blanks in the summary output given in below for each model in your answer MODEL-1 SUMMARY OUTPUT (Linear) MODEL-2 SUMMARY OUTPUT (Bilinear) Regression Statistics R Square Regression Statistics R Square t Stat Coefficient t Stat Coefficient P-value P-value Intercept Year Index Intercept Year Index
Please help find estimator of beta 0. Image of question attached.
A researcher is studying the intensity of hurricanes that entered the Gulf of Mexico between 1975-2015 and the average water temperature of the Gulf of Mexico at the hurricane's peak strength. What is the independent and dependent variable in this study?
Consider the following population model for household consumption: cons = a + b1 * inc+ b2 * educ+ b3 * hhsize + u where cons is consumption, inc is income, educ is the education level of household head, hhsize is the size of a household. Suppose a researcher estimates the model and gets the predicted value, cons_hat, and then runs a regression of cons_hat on educ, inc, and hhsize. Which of the following choice is correct and please explain why. A) be certain that R^2 = 1 B) be certain that R^2 = 0 C) be certain that R^2 is less than 1 but greater than 0. D) not be certain
5 How does the dynamic CCE estimator solve the estimation problems of the PMG technique?
I need the answer as soon as possible
We wish to predict the salary for baseball players (y) using the variables RBI (x1) and HR (x2), then we use a regression equation of the form ˆy=b0+b1x1+b2x2y^=b0+b1x1+b2x2. HR - Home runs - hits on which the batter successfully touched all four bases, without the contribution of a fielding error. RBI - Run batted in - number of runners who scored due to a batters's action, except when batter grounded into double play or reached on an error Salary is in millions of dollars. The following is a chart of baseball players' salaries and statistics from 2016. Player Name RBI's HR's Salary (in millions) Adrian Beltre 104 32 18.000 Justin Smoak 34 14 3.900 Jean Segura 64 20 2.600 Justin Upton 87 31 22.125 Brandon Crawford 84 12 6.000 Curtis Granderson 59 30 16.000 Aaron Hill 38 10 12.000 Miquel Cabrera 108 38 28.050 Adrian Gonzalez 90 18 21.857 Jacoby Ellsbury 56 9 21.143 Mark Teixeira 44 15 23.125 Albert Pujols 119 31 25.000 Matt Wieters 66 17 15.800 Logan…

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