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Review Exercises for Chapter 3 267<br />
151. Logistic model 152. Linear model 153. Logarithmic model 154. Quadratic model<br />
(or exponential)<br />
155. (a) Linear model: y 297.8t 739; 0.97653<br />
Quadratic model: y 11.79t 2 38.5t 2118; 0.98112<br />
Exponential model: y 1751.51.077 t ; 0.98225<br />
Logarithmic model: y 3169.8 ln t 3532; 0.95779<br />
Power model: y 598.1t 0.7950 ; 0.97118<br />
(b)<br />
5000<br />
7 15<br />
3000<br />
Linear model: Quadratic model: Exponential model:<br />
5000<br />
5000<br />
5000<br />
7 15<br />
3000<br />
Logarithmic model:<br />
7 15<br />
3000<br />
Power model:<br />
7 15<br />
3000<br />
5000<br />
5000<br />
7 15<br />
3000<br />
7 15<br />
3000<br />
© Houghton Mifflin Company. All rights reserved.<br />
(c) The exponential model is best because its coefficient of determination is closest to 1.<br />
Answers will vary.<br />
(d) For 2010, t 20 and y $7722 million.<br />
(e) y 5250 when t 14.8, or 2004.<br />
156. (a) Linear model: y 82.9t 1825; 0.96953<br />
Quadratic model: y 3.35t 2 133.2t 1691; 0.98982<br />
Exponential model: y 18651.0354 t ; 0.95481<br />
Logarithmic model: y 1663 435.5 ln t; 0.91664<br />
Power model: y 1733t 0.1862 ; 0.93412<br />
––CONTINUED––
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