registered in Florida (in thousands) and the number of manatees killed by boats

Question

registered in Florida (in thousands) and the number of manatees killed by boats for the years between 1977 and 2013. (data are distorted): 2001 943 2002 962 2003 977 2004 983 2005 1011 2006 1022 12 1978| 4621-20- 1990.-717-r-48 2002-96294 1979 482 1980 498 1981 514 1982 511 24 17 25 680 53 74 1993 679 1983- 07/1028-74- 1995 715 1996 732 1997 754 1998 810 1011 90 1985 586 1986 613 1987 646 1988 675 2009 981 2010 943 2011 923 2012 902 83 2000 880 2013 914 71 (a) Find the correlation r 0.001) 3:04:00 Start: 8:54 PM 9 854 PM 923/2018 Type here to search

Explanation / Answer

Independent variable, X: boats

Dependent variable, Y : manatees

Following is the output of regression analysis:

(a)

The correlation coefficient is:

r = 0.955

(b)

The least square regression line is:

y' = -45.098 + 0.132x

(c)

The predicted number of deaths for x = 900 is

y' = -45.098 + 0.132 * 900 = 73.702

Answer: 73.7

(d)

The predicted number of deaths for x = 0 is

y' = -45.098 + 0.132 * 0 = -45.1

Answer: -45.1

SUMMARY OUTPUT Regression Statistics Multiple R 0.955235972 R Square 0.912475762 Adjusted R Square 0.909975069 Standard Error 7.802206451 Observations 37 ANOVA df SS MS F Significance F Regression 1 22212.42213 22212.42213 364.8892282 4.29359E-20 Residual 35 2130.604892 60.8744255 Total 36 24343.02703 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept -45.09830713 5.403127274 -8.346704573 7.65528E-10 -56.06723858 -34.12937568 Boats, X 0.132482317 0.006935494 19.10207392 4.29359E-20 0.118402516 0.146562118

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