Use the following to answer questions 14-16: The following graph shows manatee d

Question

Use the following to answer questions 14-16: The following graph shows manatee deaths as they relate to the number of powerboat registrations in Florida for the years 1982 to 2007. A regression equation for predicting manatee deaths from powerboat registrations was estimated to be Y = 45.89 + 0.132x Predict the number of manatee deaths for a year when powerboat registrations are 710 thousand. If two years differ by 90 thousand powerboat registrations, how much would we expect the number of manatee deaths to differ between the two years? The correlation coefficient for this data was found be = 0.924, This tells us that (A) For each add total 1,000 boat registrations, the number of manatee deaths will increase by 0 924. (B) As the number of powerboat registrations increase this causes more maintained deaths. (C) As the number of powerboat registrations increases, the number of manatee deaths also tends to increase. (D) As the number of powerboat registrations increases, the number of manatee deaths tends to decrease

Explanation / Answer

Given regression equation:

Y = -45.89 + 0.132*X

(14)

Putting X = 710 we get:

Y = -45.89 + 0.132*710 = 47.83

(15)

Given: dX = 90, we need to calculate dY

We know,

Slope = dY/dX = 0.132

So,

dY = 0.132*dX = 0.132*90 = 11.88

(16)

Since r = 0.924, this tells that:

(C) As the number of powerboat registrations increase, the number of mannate deaths also tend to increase.

Hope this helps !

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