Fit a straight line to the given points (x, y) by least squares. Show the details. Check

Chapter 20, Problem 20.1.87

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Fit a straight line to the given points (x, y) by least squares. Show the details. Check your result by sketching the points and the line. Judge the goodness of fit.

(Hooke's law F = ks) Estimate the spring modulus k from the torce F [lb] and extension s [em], where (F, s)= (1, 0.50), (2, 1.02), (4, 1.99), (6, 3.01), (10, 4.98), (20, 10.03).

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