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# Test _3A - TEST#3A PGE 310 Name Signature UT EID NOTES 1...

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TEST #3A (Nov 25, 2009) PGE 310 Name: Signature: UT EID: NOTES: 1. You have 50 minutes. Points will be deducted for tests turned in after 9:50 2. Write your name (or EID) on all pages of the test 3. SHOW ALL WORK. Partial (or any credit) cannot be given for problems without work shown

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1. Qualitative Questions (15 points) a. In curving fitting, why do we derive formulas by taking partial derivatives and setting them equal to zero? In other words, why does that guarantee we get the best curve In order to minimize the sum of squared errors, we take the partial derivatives and set them to zero. This will yield a value which is closest to the true value. b. If cubic splines are a bunch of polynomials pieced together, why is it that together they “look” like a single function? In the cubic spline method, the values of the function, the 1 st and 2 nd derivatives are set equal at the knot points. This results in continuity, giving us a smooth curve thereby making them look like a single function.
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