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Stitz-Zeager_College_Algebra_e-book

# Create a polynomial p with the following attributes

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Unformatted text preview: viewing window [−1, 15] × [0, 35] along with the scatter plot is shown below on the right. Notice that p4 (15) is above 24 making this a bad model as well for future predictions. However, p4 (7.33) ≈ 18.71 making it much better at predicting the hours of daylight on July 31 (my birthday). This model says we’ll have at least 14 hours of darkness from December 21, 2008 (x = 0) to about March 1, 2009 (x = 2.30) and then again from October 10, 2009 (x = 9.667) to December 21, 2009 (x = 12). y = p3 (x) y = p4 (x) 8. (a) The scatter plot is shown below with each of the three regression models. (b) The quadratic model is P2 (x) = −0.02x2 + 0.241x + 0.956 with R2 = 0.77708. The cubic model is P3 (x) = 0.005x3 − 0.103x2 + 0.602x + 0.573 with R2 = 0.98153. The quartic model is P4 (x) = −0.000969x4 + 0.0253x3 − 0.240x2 + 0.944x + 0.330 with R2 = 0.99929. (c) The maximums predicted by the three models are P2 (5.737) ≈ 1.648, P3 (4.232) ≈ 1.657 and P4 (3.784) ≈ 1.630, respectively. y = P2 (x) y = P3 (x) y = P4 (x) 3.2 T...
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