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You have used regression to estimate: Y=3+2¹X You have two observations of data: Observation 1: X 1,Y=4 Observation 2: X= 3, Y = 11 Calculate the sum of squared residuals for these two observati

You have used regression to estimate: Y=3+2¹X You have two observations of data: Observation 1: X 1,Y=4 Observation 2: X= 3, Y = 11 Calculate the sum of squared residuals for these two observati

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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You have used regression to estimate: Y=3+2¹X You have two observations of data: Observation 1: X = 1, Y=4 Observation 2: X = 3, Y = 11 Calculate the sum of squared residuals for these two observations.
Transcribed Image Text:You have used regression to estimate: Y=3+2¹X You have two observations of data: Observation 1: X = 1, Y=4 Observation 2: X = 3, Y = 11 Calculate the sum of squared residuals for these two observations.
We have an OLS coefficient that we estimate as B₁ = 2. We perform a 95% significance test using the null hypothesis that 3₁ = 0. We reject the null. What can we conclude? There is a 95% or greater chance that our estimate of 2 is correct If the null were true, there is less than a 5% chance that we would have gotten an estimate of 2 or bigger (or -2 or smaller) There is only a 5% chance (or less) that our estimate of 2 is incorrect There is a 95% chance that a value as high as 2 (or as low as -2) would be generated by a sampling distribution centered around 0
Transcribed Image Text:We have an OLS coefficient that we estimate as B₁ = 2. We perform a 95% significance test using the null hypothesis that 3₁ = 0. We reject the null. What can we conclude? There is a 95% or greater chance that our estimate of 2 is correct If the null were true, there is less than a 5% chance that we would have gotten an estimate of 2 or bigger (or -2 or smaller) There is only a 5% chance (or less) that our estimate of 2 is incorrect There is a 95% chance that a value as high as 2 (or as low as -2) would be generated by a sampling distribution centered around 0
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