Q:obtcain the linear rgression modelfor the following system9 = 2 X, - 3 x, +pr noiseXiE (-5,5),PE(-0.5,05)

The provided system: and .The linear regression model for the given system needs to be determined.

Answered: Q: obtain the linear regression model…

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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How would you write a Log-Linear regression with interaction terms? Log-Linear- Log(Y) = B0 + B1(x) + u interaction terms- Y = B0+ B1X1 + B2X2 + B3X1X2 + u Can you please provide an example if possible and how you would interpret the model.
***PLEASE INCLUDE EXCEL OUTPUT WITH YOUR RESPONSE
The owner of a movie theater company used multiple regression analysis to predict gross revenue (y) as a function of television advertising (x,) and newspaper advertising (x,). The estimated regression equation was ý = 82.3 + 2.29x, + 1.90x2. The computer solution, based on a sample of eight weeks, provided SST = 25.1 and SSR = 23.415. (a) Compute and interpret R? and R 2. (Round your answers to three decimal places.) The proportion of the variability in the dependent variable that can be explained by the estimated multiple regression equation is 653 x . Adjusting for the number of independent variables in the model, the proportion of the variability in the dependent variable that can be explained by the estimated multiple regression equation is (b) When television advertising was the only independent variable, R2 = 0.653 and R,2 = 0.595. Do you prefer the multiple regression results? Explain. Multiple regression analysis (is preferred since both R2 and R.2 show an increased v v…
A well-known university is interested in how salary (in thousands of dollars) is predicted from years of service for faculty and administrative staff. Below are the estimated regression equations.Faculty (n = 170): ŷ = 60 + 1.1xAdmin. (n = 155): ŷ = 57 + 1.5x a) How much would a faculty member be earning after 5 years of service? b) In how many years will an administrator earn the same amount as in a)?
A study investigating the relationship between a country's annual gross domestic product x (in trillions of dollars) and carbon dioxide emissions y(in millions of metric tons) yielded r = 0.87, se = 141.9 , and the regression equation y-hat = 199.5x + 56.0. For each additional trillion dollars in %3D gross domestic product, carbon dioxide emissions increases by about 0.87 million metric tons, on average increases by about 199.5 million metric tons, on average changes by an amount that cannot be determined from the information given O increases by about 141.9 million metric tons, on average increases by about 56.0 million metric tons, on average
14) The equation of the least squares regression line between the dose of medication in mg (x) and the patients' systolic blood pressure (y) is... ŷ = -10x + 170 a) Use the regression line to estimate the systolic blood pressure for a patient taking 4 mg of medication. b) If we want to have a systolic blood pressure of 110, use the regression line to estimate the appropriate dose.
In Step 2: Construct an estimated simple linear regression model how did you come up with the column X*X ?
Find the quadratic regression curve through the following points (2, 5), (3, 5), (5, 3) y = 3.0000x? 0.3333x + 1.6667 y = 3.0000x2 + 1.6667x – 0.3333 O y = -0.3333x2 + 1.6667x + 3.0000 O y = 1.6667x2 – 0.3333x + 3.0000

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Q: obtain the linear regression model for the following system y = 2 x₁ = 3 x ₂ +pr noise Xi€ (-5,5), PE (-0.5, 0.5)