7) Suppose y = 10, 4, 8 when x is 1,1,2. Our model uses parameters theta=1,1 and when we run it using x=1,1,2 it predicts y = 9,5,8. We then back calculate dloss/dtheta = 2,-1. a) In what direction should we move theta to try to reduce loss? + b) Assuming loss was defined as the sum of the squared errors, approximately what would be the sum of the squared errors in out next prediction if we change theta to 1.001,1.002 ?-e %3!

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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7) Suppose y = 10, 4, 8 when x is 1,1,2. Our model uses parameters theta=1,1 and
when we run it using x-1,1,2 it predicts y = 9,5,8.
We then back calculate dloss/dtheta = 2,-1.
a) In what direction should we move theta to try to reduce loss? +
b) Assuming loss was defined as the sum of the squared errors, approximately what
would be the sum of the squared errors in out next prediction if we change theta to
1.001,1.002 ?-
%3D
Transcribed Image Text:7) Suppose y = 10, 4, 8 when x is 1,1,2. Our model uses parameters theta=1,1 and when we run it using x-1,1,2 it predicts y = 9,5,8. We then back calculate dloss/dtheta = 2,-1. a) In what direction should we move theta to try to reduce loss? + b) Assuming loss was defined as the sum of the squared errors, approximately what would be the sum of the squared errors in out next prediction if we change theta to 1.001,1.002 ?- %3D
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