Consider the following model:, Equation (1)where and denote the estimates of the line intercept α and slope β, respectively.Given the following data:Y: 11 14 20 19 20 X: 1 2 3 4 5 Calculate the OLS estimates for the simple linear model in equation (1).Estimate the standard error of the regression in equation (1).Compute the regression’s and test whether this is significantly different from zero at 5% and 1% statistical significance levels. You can find the F-test’s critical values in the Tables in the appendix A at the end of the exam paper.

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Answered: where and denote the estimates of the…

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

where and denote the estimates of the line intercept α and slope β, respectively.

Given the following data:

Y: 11 14 20 19 20

X: 1 2 3 4 5

Calculate the OLS estimates for the simple linear model in equation (1).
Estimate the standard error of the regression in equation (1).
Compute the regression’s and test whether this is significantly different from zero at 5% and 1% statistical significance levels. You can find the F-test’s critical values in the Tables in the appendix A at the end of the exam paper.

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