MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A Special Case of Linear Regression
4. In this question, we fit two models:
y = 0 + 0x₁
y = 0 + 0x₁+02x2
using L2 loss. The superscript S is to denote a Simple Linear Regression (SLR) and O
is used to denote a Ordinary Least Square (OLS) with two features, respectively.
The data are given below:
Y
-1
3
4
bias 1
1
1
1
-2
1
X2
-1
0
1 1
(a)Find and using the formulas derived in lecture 10 ( = rand
= y). Specify which x you are using and show all steps. You may find it
helpful to keep intermediate steps in the square root (they cancel out nicely at the
end!).
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Transcribed Image Text:A Special Case of Linear Regression 4. In this question, we fit two models: y = 0 + 0x₁ y = 0 + 0x₁+02x2 using L2 loss. The superscript S is to denote a Simple Linear Regression (SLR) and O is used to denote a Ordinary Least Square (OLS) with two features, respectively. The data are given below: Y -1 3 4 bias 1 1 1 1 -2 1 X2 -1 0 1 1 (a)Find and using the formulas derived in lecture 10 ( = rand = y). Specify which x you are using and show all steps. You may find it helpful to keep intermediate steps in the square root (they cancel out nicely at the end!).
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