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3:26 1. Consider the following 4 observations. a) Fill in the table. 1 Expert Q&A 6 (x-x bar) (y-y bar) C'D C^2 yhat Done error

3:26 1. Consider the following 4 observations. a) Fill in the table. 1 Expert Q&A 6 (x-x bar) (y-y bar) C'D C^2 yhat Done error

MATLAB: An Introduction with Applications
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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Please solve 1 and 2, thanks!
3:26 1. Consider the following 4 observations. a) Fill in the table. X 1 2 3 4 Eyi= x bar (mean x)= y bar (mean y)= y 6 4 12 10 (i.e. Find ₁ and ₂). Expert Q&A b. Interpret the bs. (x-x bar) (y-y bar) C D b. Use the table above to find the best coefficients for the following regression: y =B₁ + B₂ x C^2 2. Using the data above: yhat c. plot the data and the estimated linear regression (on the same graph) c. Obtain the residuals for each observation and show that Exe, is indeed zero. a. Find B₂ if we run the regression without intercept. b. Show (x,y) is not on the regression line. Done error
Transcribed Image Text:3:26 1. Consider the following 4 observations. a) Fill in the table. X 1 2 3 4 Eyi= x bar (mean x)= y bar (mean y)= y 6 4 12 10 (i.e. Find ₁ and ₂). Expert Q&A b. Interpret the bs. (x-x bar) (y-y bar) C D b. Use the table above to find the best coefficients for the following regression: y =B₁ + B₂ x C^2 2. Using the data above: yhat c. plot the data and the estimated linear regression (on the same graph) c. Obtain the residuals for each observation and show that Exe, is indeed zero. a. Find B₂ if we run the regression without intercept. b. Show (x,y) is not on the regression line. Done error
Expert Solution
Step 1
x y
1 6
2 4
3 12
4 10

The linear model is y = a+bx 

The normal equations for solving the coefficients of the linear model are given as follows:

∑y = na+b∑x∑xy = a∑x+b∑x2

Note: As the question contains multiple subparts first 3 are solved as per the company guidelines and please repost for remaining solutions

 

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