Exam 7¶
Each question will be graded out of 4 points, with partial credit given for incomplete or incorrect answers. To pass the exam, you will need at least 12 points total, which is an average score of 3 for each question. A score of 12 or 13 will receive a 70% and a score of 14 or above will receive 100%.
Next to each part of the rubrics, you will see error codes in square brackets. These error codes are will be used to indicate why any points were taken off on your exam papers.
Below are the rubrics for exam 7.
Question 1¶
Solve least squares problem.
- (4 pts) Projection method
(-1 pt) Basis of column space not orthogonal.
(-1 pt) Error in projection.
(-1 pt) Error in solving system.
(-1 pt) Missing work.
- (4 pts) Pseudo-inverse method
(-1 pt) Minor computational error
(-2 pt) Major mathematical error
(-1 pt) Missing work
(-1 pt) Answer is missing or incorrect
Question 2¶
Project onto subspace.
- (2 pts) Orthogonal basis
(-2 pts) Basis is not orthogonal
- (2 pts) Projection
(-1 pt) Formula incorrect
(-1 pt) Answer incorrect or missing
Question 3¶
True or False?
- (1 pt) Correct answer
(-1 pt) Answer is either incorrect or missing [IA]
- (3 pts) Explain answer
- Answer TRUE
- Provided reasoning (3 points possible)
(-1 pt) Reasoning is sound but not a proof [RS]
(-2 pts) Some of the reasoning is sound [PS]
(-3 pts) Reasoning is not sound [NS]
- Provided an example (2 points possible)
(-0 pts) Example supports an answer of TRUE [EX]
(-1 pt) Example supports an answer of FALSE (is a counterexample) [CX]
(-2 pts) Example is incorrect or not relevant [NX]
- Answer FALSE
- Provided reasoning (3 points possible)
(-1 pt) Reasoning is sound but not a proof of the negative [RS]
(-2 pts) Some of the reasoning is sound [PS]
(-3 pts) Reasoning is not sound [NS]
- Provided an example (3 points possible)
(-0 pts) Counterexample [CX]
(-2 pts) Example supports an answer of TRUE [EX]
(-3 pts) Example is incorrect or not relevant [NX]
Question 4¶
Compute the singular values.
(-1 pt) Minor computational error
(-2 pt) Major mathematical error
(-1 pt) Answer is incorrect or missing
(-1 pt) Work is missing