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Statistics Homework Solutions 204

# Statistics Homework Solutions 204 - 204 CHAPTER 8 2726.55...

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204 CHAPTER 8 Linear 18 2726.55 Quadratic 17 481.90 Cubic 16 115.23 Quartic 15 111.78 To compare quadratic vs. linear, F 1 17 2726 55 481 90 18 17 481 90 17 79 185. P 0. A computer package gives P 8 3 10 8 . To compare cubic vs. quadratic, F 1 16 481 90 115 23 17 16 115 23 16 50 913. P 0. A computer package gives P 2 4 10 6 . To compare quartic vs. cubic, F 1 15 115 23 111 78 16 15 111 78 15 0 463. P 0 10. A computer package gives P 0 507. The cubic model is selected by this procedure. (b) The cubic model is y 27 937 0 48749 x 0 85104 x 2 0 057254 x 3 . The estimate y is maximized when dy dx 0. dy dx 0 48749 1 70208 x 0 171762 x 2 . Therefore x 10 188 ( x 0 2786 is a spurious root). 13. (a) Let y 1 represent the lifetime of the sponsor’s paint, y 2 represent the lifetime of the competitor’s paint, x 1 repre- sent January temperature, x 2
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