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Assume a linear model y = wo + w₁x and we use linear regression to train this model. The cost function is MSE = 1/12/²1 (w². x(i) — y(i)) ² (the gradient function is OMSE (w².x(i) — y(i)) x(i)). θω; Consider stochastic mode of linear regression and initial values wo = 3, w₁ 3, w₁3, and the learning rate a = 0.01. What are wo and w₁ respectively after training with the following two examples in the given order ? (1, 3.05) (4, 8.80) = 2²/2₁ ἦ Σ1 WO=1.8792, w1=2.1432 WO=2.6251, w1=2.4723 WO=2.9092, w1=2.7284 WO=2.8229, w1=2.4686

Assume a linear model y = wo + w₁x and we use linear regression to train this model. The cost function is MSE = 1/12/²1 (w². x(i) — y(i)) ² (the gradient function is OMSE (w².x(i) — y(i)) x(i)). θω; Consider stochastic mode of linear regression and initial values wo = 3, w₁ 3, w₁3, and the learning rate a = 0.01. What are wo and w₁ respectively after training with the following two examples in the given order ? (1, 3.05) (4, 8.80) = 2²/2₁ ἦ Σ1 WO=1.8792, w1=2.1432 WO=2.6251, w1=2.4723 WO=2.9092, w1=2.7284 WO=2.8229, w1=2.4686

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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Assume a linear model y = wow₁x and we use linear regression to train this model. The cost function is MSE = gradient function is OMSE δω; 1/12/²1 (w². x(i) — y(i))² (the m i=1 = 2²/2₁ (w².x(i) — y(i)) x(i)). m Consider stochastic mode of linear regression and initial values wo = 3, w₁ = 3, and the learning rate a = 0.01. What are wo and w₁ respectively after training with the following two examples in the given order ? (1, 3.05) (4, 8.80) WO=1.8792, w1=2.1432 WO=2.6251, w1=2.4723 WO=2.9092, w1=2.7284 WO=2.8229, w1=2.4686
Transcribed Image Text:Assume a linear model y = wow₁x and we use linear regression to train this model. The cost function is MSE = gradient function is OMSE δω; 1/12/²1 (w². x(i) — y(i))² (the m i=1 = 2²/2₁ (w².x(i) — y(i)) x(i)). m Consider stochastic mode of linear regression and initial values wo = 3, w₁ = 3, and the learning rate a = 0.01. What are wo and w₁ respectively after training with the following two examples in the given order ? (1, 3.05) (4, 8.80) WO=1.8792, w1=2.1432 WO=2.6251, w1=2.4723 WO=2.9092, w1=2.7284 WO=2.8229, w1=2.4686
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