# Sp00exF - a and a 1 in the Least Squares Line 1 y a a x = B...

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Sp 00 EGN 3420 FINAL Name_______________________ SHOW ALL WORK! Problem 1 (35 pts) Consider the definite integral 2 I ( ) where =0 , =1 and ( )= x b a e f x dx a b f x - = , A) Use Simpson's Rule with 8 intervals to approximate I. Fill in the table below with f ( x i ) rounded to 4 places after the decimal point. Express your answer to 4 places after the decimal point. i x i f ( x i ) 0 0.0000 1 2 3 4 5 6 7 8 1.0000 B) Use the Gauss Quadrature two point formula to approximate I. Express your answer to 4 places after the decimal point.

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Sp 00 EGN 3420 FINAL Name_______________________ SHOW ALL WORK! Problem 2 (35 pts) The following data points were obtained experimentally. x i y i 1 0 2 2 5 17 7 34 10 85 A) Find the Normal Equations used to solve for
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Unformatted text preview: a and a 1 in the Least Squares Line: 1 y a a x = + B) Find the coefficient of determination (to 4 places after the decimal point) of the Least Squares Line. Sp 00 EGN 3420 FINAL Name_______________________ SHOW ALL WORK! Problem 3 (30 pts) Examine the following system of equations and determine whether they are consistent. If they are inconsistent, show why. If they are consistent and there is a unique solution, find it. If they are consistent and there are one or more arbitrary unknowns, determine if x 2 can be arbitrary. x x x x x x x x x x x x x x 1 2 3 4 1 3 4 1 2 3 4 2 3 4 3 2 1 2 3 8 2 2 2 + +-=-+-=-+-= +-=...
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Sp00exF - a and a 1 in the Least Squares Line 1 y a a x = B...

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