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Stitz-Zeager_College_Algebra_e-book

# The notion of continuity is what allowed us to

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Unformatted text preview: en close to linear. (c) The parabola for the Saturday data is y = 0.003x2 − 0.21x +238.30. We have R2 = .47497 which isn’t good. Thus the data isn’t modeled well by a quadratic function, either. (d) The Thursday linear model had my weight on January 1, 2010 at 193.77 pounds. The Saturday models give 235.69 and 563.31 pounds, respectively. The Thursday line has my weight going below 0 pounds in about ﬁve and a half years, so that’s no good. The quadratic has a positive leading coeﬃcient which would mean unbounded weight gain for the rest of my life. The Saturday line, which mathematically does not ﬁt the data at all, yields a plausible weight prediction in the end. I think this is why grown-ups talk about “Lies, Damned Lies and Statistics.” 4. (a) The quadratic model for the cats in Portage county is y = 1917803.54x2 − 16036408.29x + 24094857.7. Although R2 = .70888 this is not a good model because it’s so far oﬀ for small values of x. Case in point, the model gives us 24,094,858 cats when x...
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