542 CHAPTER 10 Correlation and Regression 16. Taxis Use the distance>tip data from Exercise 15. Find the best predicted tip for a ride that is 3.10 miles. How does the result compare to the actual tip of $4.55? 17. Taxis Use the distance>fare data from Exercise 15 and find the best predicted fare amount for a distance of 3.10 miles. How does the result compare to the actual fare of $15.30? 18. Taxis Use the time>fare data from Exercise 15 and find the best predicted fare amount for a time of 20 minutes. How does the result compare to the actual fare of $15.30? 19. Oscars Listed below are ages of recent Oscar winners matched by the years in which the awards were won (from Data Set 21 “Oscar Winner Age” in Appendix B). Find the best predicted age of an Oscar-winning actress given that the Oscar winner for best actor is 59 years of age. How does the result compare to the actual actress age of 60 years? Best Actor 32 33 45 29 62 22 44 54 26 28 60 45 Best Actress 50 48 60 50 39 55 44 33 41 41 59 37 20. POTUS Listed below are the heights (cm) of winning presidential candidates and their main opponents from several recent presidential elections (from Data Set 22 “Presidents” in Appendix B). Find the best predicted height of an opponent given that the president had a height of 191 cm. How close is the result to the actual opponent height of 169 cm? President 192 182 177 185 188 188 183 188 191 Opponent 180 180 183 177 173 188 185 175 169 21. Prices of Pizza and Subway Rides In the table below, use the pizza cost and the subway fare. (Pizza cost is in dollars per slice, subway fare and CPI are in dollars.) What is the best predicted subway fare when pizza costs $4.00 per slice? Year 1960 1973 1986 1995 2002 2003 2009 2013 2015 2019 Pizza Cost 0.15 0.35 1.00 1.25 1.75 2.00 2.25 2.30 2.75 3.00 Subway Fare 0.15 0.35 1.00 1.35 1.50 2.00 2.25 2.50 2.75 2.75 CPI 29.6 44.4 109.6 152.4 180.0 184.0 214.5 233.0 237.0 252.2 22. Subway and the CPI Use the subway>CPI data from the preceding exercise. What is the best predicted value of the CPI when the subway fare is $3.00? 23. CSI Statistics Listed below are foot lengths (mm) and heights (mm) of males (from Data Set 3 “ANSUR II 2012” in Appendix B). Find the best predicted height of a male with a foot length of 273 mm. How does the result compare to the actual height of 1776 mm? Foot Length 282 278 253 259 279 258 274 262 Height 1785 1771 1676 1646 1859 1710 1789 1737 24. Crickets and Temperature Find the best predicted temperature at a time when a cricket chirps 3000 times in 1 minute. What is wrong with this predicted temperature? Chirps in 1 min 882 1188 1104 864 1200 1032 960 900 Temperature 1 °F2 69.7 93.3 84.3 76.3 88.6 82.6 71.6 79.6 25. Cars Sales and the Super Bowl Listed below are the annual numbers of cars sold (thousands) and the numbers of points scored in the Super Bowl that same year. What is the best predicted number of Super Bowl points in a year with sales of 8423 thousand cars? How close is the predicted number to the actual result of 37 points? Car Sales 8175 8213 8518 8991 8635 8527 8272 8142 Super Bowl Points 61 69 43 75 44 56 55 53
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