Practice Final Exam

# Practice Final Exam - AMS 210 Practice Final Exam...

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Unformatted text preview: AMS 210 - Practice Final Exam Instructor: Bryan Clark 1. (20 pts total) Given: H = 1- 3- 3 1 , b = 4 2 a) (2 pts) Solve for det( H ) . b) (3 pts) Solve for H- 1 . c) (2 pts) Solve for x in Hx = b , using H- 1 . d) (4 pts) Find the condition number of H using the sum norm. e) (4 pts) Give a bound for | Hy | s assuming | y | s = 2 . f) (5 pts) Determine the eigenvalues and eigenvectors of H . 2. (10 pts total) Given : Hours Spent Studying 1 2 3 4 5 6 Hours Required to Finish Test 9 7 6 4 2 1 Fit this data with a regression model of the form y * = qx + r , provided the following formulas: q = n ∑ x i y i- ( ∑ x i )( ∑ y i ) n ∑ x 2 i- ( ∑ x i ) 2 , r = ( ∑ y i )( ∑ x 2 i )- ( ∑ x i )( ∑ x i y i ) n ∑ x 2 i- ( ∑ x i ) 2 , q = ∑ x i y i ∑ ( x i ) 2 , r = 1 n ∑ y i , r = r- q ∑ x i n 3. (10 pts total) We surveyed a group of students eating vanilla, chocolate, and strawberry ice cream about which avor they would choose next time. Responses yielded the following transitioncream about which avor they would choose next time....
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