7. Manatees are large, gentle sea creatures that live along the Florida coast. Many manages are killed or injured by powerboats. Here are data on powerboat registrations (in thousands) and the number of manatees killed by boats in Florida in the years 1985-1990. Powerboat Registrations (in 1000's)(X) Manatees Killed by Powerboats (Y) 585 33 645 39 675 43 711 50

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7. Manatees are large, gentle sea creatures that live along the Florida coast. Many manages
are killed or injured by powerboats. Here are data on powerboat registrations (in
thousands) and the number of manatees killed by boats in Florida in the years 1985-1990.
Powerboat Registrations (in 1000's)(X) Manatees Killed by Powerboats (Y)
585 33
645 39
675 43
711 50

powerboat registration (in 1000's)(X) manatees killed by powerboats (Y)
585 33
645 39
675 43
711 50

 

a) Make a well-labeled scatterplot of the powerboat and manatee data. 

b) Write the regression equation that will predict the number of manatees killed given the number of powerboat registrations (in 1000's). To earn any credit, show all work for slope, b1, and y-intercept, b0, calculations rounding to 4-decimal places, if necessary. 

c) Using the regression equation, predict the number of manatees that will be killed when
there are 700 thousand powerboats registered. 

On all hypothesis test: 1) clearly state the null and alternative hypotheses; 2)
sketch a graph of the rejection region labeled with the critical value; 3) calculate the test
statistic (showing work) and p-value (give a range for t, chi-square, and F), and 4)using
evidence state a detailed conclusion. 

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