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A study of king penguins looked for a relationship between how deep the penguins

ID: 3231607 • Letter: A

Question

A study of king penguins looked for a relationship between how deep the penguins dive to seek food and how long they stay underwater. For all but the shallowest dives, there is a linear relationship that is different for different penguins. The study report gives a scatterplot for one penguin titled "The relation of dive duration (DD) to depth (D)." Duration DD is measured in minutes and depth D is in meters. The report then says, "The regression equation for this bird is: DD = 2.06 + 0.0134 D. (a) What is the slope of the regression line?. minutes per meter. (b) According to the regression line, how long does a typical dive to a depth of 225 meters last? minutes.

Explanation / Answer

A)What is the slope of the regression line?

REGRESSION SLOPE =0.0134

B)According to the regression line, how long does a typical dive to a depth of 225 meters last?

GIVEN D=225M

DD =2.06+0.0134(225) =5.075M