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# Sp94ex2 - (25 pts The following data was obtained from an...

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EGN 3420 Exam 2 Name __________________ Sp 94 SHOW ALL WORK! Problem 1 (50 pts) Test scores of several students in two classes are given below. Geometry (G) Chemistry (C) 50 50 68 72 93 100 74 82 86 93 60 67 A) Find the equation of the least squares line for predicting Chemistry scores C from Geometry scores G. B) Find the coefficient of determination r 2 and the standard error of the estimate s y|x . C) Use the least squares line to find the expected score in Chemistry for a student who made 80 on a Geometry test.

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EGN 3420 Exam 2 Name __________________ Sp 94 SHOW ALL WORK! Problem 2
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Unformatted text preview: (25 pts) The following data was obtained from an unknown function f(x). i x i y i = f(x i )-1 1 1 1 2 1 1 3 2 5 A) Find the Lagrange interpolating polynomial 3 i i f (x)= f(x )L (x) ∑ . You do not have to simplify the answer. B) Estimate f(1.1). EGN 3420 Exam 2 Name __________________ Sp 94 SHOW ALL WORK! Problem 3 (25 pts) Given the data points (0,0), (1,0), (2,6) and (3, y 4 ), the resulting third order Newton Divided Difference interpolating polynomial is 3 ( ) 3 ( -1) ( -1)( -2) f x x x x x x = + Find y 4 ....
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