13 The endangered manatee. Table 4.1 gives 33 years of data on boats registered

Question

13 The endangered manatee. Table 4.1 gives 33 years of data on boats registered in Florida and manatees killed by boats. Figure 4.2 (page 103) shows a strong positive linear relationship. The correlation is r 0.951. (a) Find the equation of the least-squares line for predicting manatees killed from thousands of boats registered. Because the linear pattern is so strong, we expect predictions from this line to be quite accurate-but only if conditions in Florida remain similar to those of the past 33 years. In 2009, experts predicted that the number of boats registered in Florida would be 975,000 in 2010. What would you predict the number of manatees killed by boats to be if there are 975,000 boats registered? Explain why we can trust this prediction. Predict manatee deaths if there were no boats registered in Florida. Explain why the predicted count of deaths is impossible. (We use x = 0 to find the intercept of the regression line, but unless the explanatory variable x actually takes values near O, prediction for x-0 is an example of extrapolation.) MANATEES (b) (c) colleae? A Callaoe Rnarder

Explanation / Answer

When x =979

y = -43.172+0.129(979) =83.119

------------------------

If x=0 y = -43.172 which is negative

But if no boats are there no deaths will be registered

Hence domain is defined only from x >=335

X Y 447 13 5811 199809 460 21 9660 211600 481 24 11544 231361 498 16 7968 248004 513 24 12312 263169 512 20 10240 262144 526 15 7890 276676 559 34 19006 312481 585 33 19305 342225 614 33 20262 376996 645 39 25155 416025 675 43 29025 455625 711 50 35550 505521 719 47 33793 516961 681 53 36093 463761 679 38 25802 461041 678 35 23730 459684 696 49 34104 484416 713 42 29946 508369 732 60 43920 535824 755 54 40770 570025 809 66 53394 654481 830 82 68060 688900 880 78 68640 774400 944 81 76464 891136 962 95 91390 925444 978 73 71394 956484 983 69 67827 966289 1010 79 79790 1020100 y = -43.172+0.129x 1024 92 94208 1048576 1027 73 74971 1054729 1010 90 90900 1020100 982 97 95254 964324 24318 1718 1414178 19066680

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.