J = Emples (yi – ŷi)² + 11.23(||w||+ncoefficients) 'i=1 For the second-order|(quadratic) regression of the data: x = c(1,2,2,3,3.5,5,5,6.5,7,8,8.5,9,9,10,12,13,14.5,16,16.5,18) y = c(4,9,3,14,11,20,14,29,23,35,27,41,33,39,44,40,39,55,47,63) The regression equation is ŷ = -0.0721x2 + 4.4763x - 1.4246 Is this a better regularized fit than the reported 1st, 3rd, and 6th order fits?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Using the data, find the value of J where:

 

Msamples (y; – î;)² + 11.23(||w||+ncoefficients)
J = Lj=1
'i=D1
For the second-order (quadratic) regression of the data:
x = c(1,2,2,3,3.5,5,5,6.5,7,8,8.5,9,9,10,12,13,14.5,16,16.5,18)
y = c(4,9,3,14,11,20,14,29,23,35,27,41,33,39,44,40,39,55,47,63)
The regression equation is ŷ = -0.0721x2 + 4.4763x - 1.4246
Is this a better regularized fit than the reported 1st, 3rd, and 6th order fits?
Transcribed Image Text:Msamples (y; – î;)² + 11.23(||w||+ncoefficients) J = Lj=1 'i=D1 For the second-order (quadratic) regression of the data: x = c(1,2,2,3,3.5,5,5,6.5,7,8,8.5,9,9,10,12,13,14.5,16,16.5,18) y = c(4,9,3,14,11,20,14,29,23,35,27,41,33,39,44,40,39,55,47,63) The regression equation is ŷ = -0.0721x2 + 4.4763x - 1.4246 Is this a better regularized fit than the reported 1st, 3rd, and 6th order fits?
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