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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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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.
c.
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This note was uploaded on 01/27/2011 for the course PGE 310 taught by Professor Klaus during the Spring '06 term at University of Texas at Austin.
 Spring '06
 Klaus

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