14. Least Squares and Applications

Solving Approximation Problems — Quiz

Test your understanding of solving approximation problems with 5 practice questions.

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Practice Questions

Question 1

What is the main objective of the least squares method?

Question 2

In a data fit, if the observed value is $y$ and the predicted value is $\hat y$, what is the residual?

Question 3

If the system $Ax=b$ has no exact solution, what does the least squares solution do?

Question 4

In least squares, the residual vector $b-A\hat x$ is orthogonal to which subspace?

Question 5

Which equation is the normal equation for a least squares solution $\hat x$?
Solving Approximation Problems Quiz — Linear Algebra | A-Warded