2. Determine the linear function using linear regression. Show the step-by-step tabulated solution and the solution for each variable similar to the solution in the lecture notes. Fit the following data points using linear regression and determine the corelation coefficient r. Determine the function at x = 40. x 5 6 10 14 16 20 22 28 36 38 f(x) 30 28 22 21 16 14 12 8 4 0 3. Determine the quadratic function using quadratic regression. Show the step-by- step tabulated solution and the solution for each variable similar to the solution in the lecture notes. Fit the following data points using quadratic regression. Determine the function at x = 21. 2.5 3.5 5 6 7.5 10 X f(x) 7 12.5 15 17.5 20 5.5 3.9 3.6 3.1 2.8 2.6 2.4 2.3 2.1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

5 DECIMAL PLACES

2. Determine the linear function using linear regression. Show the step-by-step
tabulated solution and the solution for each variable similar to the solution in the
lecture notes. Fit the following data points using linear regression and determine
the corelation coefficient r. Determine the function at x = 40.
x 5 6 10 14 16 20 22 28 36 38
f(x) 30 28 22 21 16 14 12 8 4 0
3. Determine the quadratic function using quadratic regression. Show the step-by-
step tabulated solution and the solution for each variable similar to the solution in
the lecture notes. Fit the following data points using quadratic regression.
Determine the function at x = 21.
x 2.5 3.5 5 6 7.5 10 12.5 15 17.5 20
f(x) 7 5.5 3.9 3.6 3.1 2.8 2.6 2.4 2.3 2.1
Transcribed Image Text:2. Determine the linear function using linear regression. Show the step-by-step tabulated solution and the solution for each variable similar to the solution in the lecture notes. Fit the following data points using linear regression and determine the corelation coefficient r. Determine the function at x = 40. x 5 6 10 14 16 20 22 28 36 38 f(x) 30 28 22 21 16 14 12 8 4 0 3. Determine the quadratic function using quadratic regression. Show the step-by- step tabulated solution and the solution for each variable similar to the solution in the lecture notes. Fit the following data points using quadratic regression. Determine the function at x = 21. x 2.5 3.5 5 6 7.5 10 12.5 15 17.5 20 f(x) 7 5.5 3.9 3.6 3.1 2.8 2.6 2.4 2.3 2.1
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