Stitz-Zeager_College_Algebra_e-book

14 and are perhaps the inspiration for the moniker

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Unformatted text preview: light 1 2 3 4 5 6 7 8 9 10 11 12 5.8 9.3 12.4 15.9 19.4 21.8 19.4 15.6 12.4 9.1 5.6 3.3 Use Quadratic Regression to find a parabola which models this data and comment on its goodness of fit. (Spoiler Alert: Does anyone know what type of function we need here?) 178 2.5.2 Linear and Quadratic Functions Answers 1. (c) y = 0.266x − 459.86 with r = 0.9607 which indicates a good fit. The slope 0.266 indicates the country’s energy production is increasing at a rate of 0.266 Quad per year. (d) According to the model, the production in 2010 will be 74.8 Quad. (e) According to the model, the production will reach 100 Quad in the year 2105. 2. The line is y = 36.8x + 16.39. We have r = .99987 and r2 = .9997 so this is an excellent fit to the data. The slope 36.8 represents miles per gallon. 3. (a) The line for the Thursday data is y = −.12x + 237.69. We have r = −.9568 and r2 = .9155 so this is a really good fit. (b) The line for the Saturday data is y = −0.000693x + 235.94. We have r = −0.008986 and r2 = 0.0000807 which is horrible. This data is not ev...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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