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

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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.

How does the line in Prob. 1 change if you add a point far above it, say, (1, 3)? Guess first.

Data from Prob. 1

(0, 2), (2, 0), (3, -2), (5, -3)

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