3. (5.15) Manatees are large, gentle, slow-moving creatures found along the coast of Florida. Many manatees...

(5.15) Manatees are large, gentle, slow-moving creatures found along the coast of Florida. Many manatees are injured or killed by boats. below contains data on the number of boats registered in Florida (in thousands) and the number of manatees killed by boats for the years between 1977 and 2013. (data are distorted):

YEAR	BOATS	MANATEES	YEAR	BOATS	MANATEES	YEAR	BOATS	MANATEES
1977	446	12	1989	712	50	2001	943	81
1978	458	22	1990	718	46	2002	964	95
1979	481	24	1991	683	53	2003	978	72
1980	497	15	1992	680	37	2004	982	70
1981	511	24	1993	677	36	2005	1010	79
1982	512	21	1994	697	48	2006	1025	91
1983	526	16	1995	711	42	2007	1029	73
1984	557	34	1996	732	60	2008	1010	90
1985	586	32	1997	753	54	2009	984	96
1986	615	33	1998	810	65	2010	942	84
1987	647	39	1999	830	81	2011	923	87
1988	674	44	2000	879	77	2012	904	82	2013	917	71

(a) Find the correlation rr (±±0.001)

rr =

(b) Find the equation of the least-squares line (±±0.001) for predicting manatees killed from thousands of boats registered.

yˆy^ = +xx

(d) Predict (±±0.1) manatee deaths if there were no boats registered in Florida.

Solutions

Expert Solution

correlation coefficient r=

S_xy/(√S_xx*S_yy) =

0.955

Least square line equation: ŷ = -44.145 + 0.131*x

predicted value =-44.145 + 0.131*900 = 73.8

predicted value = -44.1 , which is ot meaningful since 0 boats falls outside the scope of this model

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A large 5-m long Tiger Shark caught off the coast of Florida was found to weigh...

A large 5-m long Tiger Shark caught off the coast of Florida was found to weigh 15000 N (on the boat). Its humongous liver was removed and found to weigh 3500 N! A subsequent buoyancy test found that the oil-filled liver has an average density of 0.92 kg/L. a) What is the total mass of the shark? b) What is the mass of the shark without the liver? c) Which of the following expressions can be used for finding the...

Many people assume air resistance acting on a moving object will always make the object slow...

Many people assume air resistance acting on a moving object will always make the object slow down. It can, however, actually be responsible for making the object speed up. Consider a 310-kg Earth satellite in a circular orbit at an altitude of 335 km. A small force of air resistance makes the satellite drop into a circular orbit with an altitude of 200 km. (Use the following values: G = 6.67 10-11 m3 kg−1 s−2, mass of the Earth 5.98...

Many regions along the coast in North and South Carolina and Georgia have experienced rapid population...

Many regions along the coast in North and South Carolina and Georgia have experienced rapid population growth over the last 10 years. It is expected that the growth will continue over the next 10 years. This has motivated many of the large grocery store chains to build new stores in the region. The Kelley’s Super Grocery Stores Inc. chain is no exception. The director of planning for Kelley's Super Grocery Stores wants to study adding more stores in this region....

Many regions along the coast in North and South Carolina and Georgia have experienced rapid population...

Many regions along the coast in North and South Carolina and Georgia have experienced rapid population growth over the last 10 years. It is expected that the growth will continue over the next 10 years. The director gathered the following sample information. Family Food Income Size 1 $3.84 $73.98 1 2 4.08 54.90 2 3 5.76 53.20 4 4 3.48 52.02 1 5 4.20 65.70 2 6 4.80 53.64 4 7 4.32 79.74 3 8 5.04 68.58 4 9 6.12...

Natural disasters: Suppose a large earthquake destroys many houses and buildings on the West Coast but...

Natural disasters: Suppose a large earthquake destroys many houses and buildings on the West Coast but fortunately results in little loss of life. Show how to think about this event using the IS curve. Explain how actual output, potential output, and short-run output are affected in the short run, and why.

The position of a particle moving along the x-axis is given by x(t) = t^3 +...

The position of a particle moving along the x-axis is given by x(t) = t^3 + 9t^2 − 21t with t is in [0, 2]. (a) Find the velocity and acceleration of the particle. (b) For what t-values is the velocity 0? (Enter your answers as a comma-separated list.) (c) When is the particle moving to the left (velocity is negative)? (Enter your answer using interval notation.) When is the particle moving to the right (velocity is positive)? (Enter your...

1) The position of an object moving along a straight line is s(t) = t^3 −...

1) The position of an object moving along a straight line is s(t) = t^3 − 15t^2 + 72t feet after t seconds. Find the object's velocity and acceleration after 9 seconds. 2) Given the function f (x ) =−3 x 2 + x − 8 , (a) Find the equation of the line tangent to f(x ) at the point (2, −2) . (b) Find the equation of the line normal to f(x ) at the point (2, −2)...

Exercise 14-26 (LO14-1, LO14-2, LO14-4) Many regions along the coast in North and South Carolina and...

Exercise 14-26 (LO14-1, LO14-2, LO14-4) Many regions along the coast in North and South Carolina and Georgia have experienced rapid population growth over the last 10 years. It is expected that the growth will continue over the next 10 years. This has motivated many of the large grocery store chains to build new stores in the region. The Kelley’s Super Grocery Stores Inc. chain is no exception. The director of planning for Kelley's Super Grocery Stores wants to study adding...

A 3 kg object is moving along the +y+y direction with a speed of 4 m/s...

A 3 kg object is moving along the +y+y direction with a speed of 4 m/s when it experiences an impulse of 5i^−8j^5i^−8j^ Ns. What is the object's speed after the impulse is applied?

a rocket is moving along a curve with its equation given by s=2t^3-24t+s(s in meter and...

a rocket is moving along a curve with its equation given by s=2t^3-24t+s(s in meter and t in second). find the time required for the rocket to reach a velocity of 126 m/s from its initial condition at t=0 the acceleration of the rocket when v=0 m/s the net displacement during the interval from t=1 s to t=4 s draw the graphs for displacement, velocity and acceleration and explain them.

Subjects