Omer trained a linear regression model and tested its performance on a test sample of 500 objects. On 400 of those, the model returned a prediction higher than expected by 0.5, and on the remaining 100, the model returned a prediction lower than expected by 0.7. What is the MSE for his model? Limor claims that the linear regression model wasn't trained correctly, and we can do improve it by changing all the answers by a constant value. What will be her MSE? You can assume that Limor found the smallest error under her constraints. Return two values - Omer's and Limor's MSE.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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Omer trained a linear regression model and
tested its performance on a test sample of
500 objects. On 400 of those, the model
returned a prediction higher than expected
by 0.5, and on the remaining 100, the
model returned a prediction lower than
expected by 0.7.
What is the MSE for his model?
Limor claims that the linear regression
model wasn't trained correctly, and we can
do improve it by changing all the answers
by a constant value. What will be her MSE?
You can assume that Limor found the
smallest error under her constraints.
Return two values - Omer's and Limor's
MSE.
Transcribed Image Text:Omer trained a linear regression model and tested its performance on a test sample of 500 objects. On 400 of those, the model returned a prediction higher than expected by 0.5, and on the remaining 100, the model returned a prediction lower than expected by 0.7. What is the MSE for his model? Limor claims that the linear regression model wasn't trained correctly, and we can do improve it by changing all the answers by a constant value. What will be her MSE? You can assume that Limor found the smallest error under her constraints. Return two values - Omer's and Limor's MSE.
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