Fit a quadratic trend function to the data

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To make a trend analysis of six evenly spaced data points, one can use orthogonal polynomials with respect to evaluation at the points t = 5, 3, 1, 1, 3, and 5.

a. Show that the first three orthogonal polynomials are

129_81162372-ce63-42d7-90a6-29638f73780b.png

(The polynomial p2 has been scaled so that its values at the evaluation points are small integers.)

b. Fit a quadratic trend function to the data

565_d529f9f6-88de-4ba6-9354-7789a853a830.png

Reference no: EM131074461

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