Su95ex3 - 2 , and r. D) Plot the given data points, the...

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EGN 3420 EXAM 3 Su 95 Problem 1 The following table contains vehicle stopping distances as a function of speed. V (mph) D (ft) 20 42 25 56 30 75 35 92 40 116 45 143 50 173 A) Find 1. the least squares regression line thru the data points, D = a 0 + a 1 V 2. the following sum of squares: SST, SSE, and SSR. 3. the coefficient of determination r 2 and the correlation coefficient r. B) Fill in the table below and find the equation of the least squares quadratic, D = a 0 + a 1 V + a 2 V 2 V i D i V i 2 V i 3 V i 4 V i D i V i 2 D i 20 42 25 56 30 74 35 92 40 116 45 143 50 173 V i D i V i 2 V i 3 V i 4 V i D i V i 2 D i C) Calculate SST, SSE, SSR, r
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Unformatted text preview: 2 , and r. D) Plot the given data points, the least squares line and the least squares quadratic on the same graph. EGN 3420 EXAM 3 Su 95 Problem 2 Estimate the function f(x) = e x at x=1 by fitting a 3rd order Newton Divided Difference polynomial thru the four points: (0, e ), (0.5, e 0.5 ), (1.5, e 1.5 ) and (2, e 2 ). Express the coefficients b i , i=0,1,2,3 to five places after the decimal point and use them to estimate f(1)....
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Su95ex3 - 2 , and r. D) Plot the given data points, the...

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