3. Workplace Ergonomics

Ergonomic Assessment — Quiz

Test your understanding of ergonomic assessment with 5 practice questions.

Practice Questions

Question 1

Which condition must the residual vector r=b−Ax satisfy in the ordinary least squares problem Ax≈b?

Question 2

Determine the slope m and intercept c of the least squares line y=mx+c fitting points (−1,1),(0,0),(1,1).

Question 3

Which advantage do orthogonal polynomials offer when used in polynomial least squares approximation?

Question 4

Find the least squares approximation p(x)=a+bx of f(x)=x² on [−1,1] under the L² inner product. What are a and b?

Question 5

Which formula gives the k-th Chebyshev node x_k for n+1 nodes on [−1,1]?