For each of the sets of data that follows, use the least squares approximation to find the best fits with both (i) a linear function and (ii) a quadratic function. Compute the error E in both cases.(a) {(-3, 9), (−2, 6), (0, 2),(1, 1)}(b) {(1, 2), (3,4), (5, 7), (7, 9), (9, 12)}(c) {(−2, 4), (−1, 3), (0, 1), (1,−1), (2,−3)}

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Asked Dec 30, 2019
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For each of the sets of data that follows, use the least squares approximation to find the best fits with both (i) a linear function and (ii) a quadratic function. Compute the error E in both cases.

(a) {(-3, 9), (−2, 6), (0, 2),(1, 1)}

(b) {(1, 2), (3,4), (5, 7), (7, 9), (9, 12)}

(c) {(−2, 4), (−1, 3), (0, 1), (1,−1), (2,−3)}

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Step 1

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Step 2

(ii) From the given data, the right hand side stays the same, but for quadratic approximation, we are adding another column in A:

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Step 3

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