A study of king penguins looked for a relationship betweenhow deep the penguins dive to

Chapter 0, Problem 5.24

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A study of king penguins looked for a relationship betweenhow deep the penguins dive to seek food and how long they stay underwater.9 Forall but the shallowest dives, there is a linear relationship that is different fordifferent penguins. The study report gives a scatterplot for one penguin titledThe relation of dive duration (DD) to depth (D). Duration DD is measured inminutes, and depth D is in meters. The report then says, The regression equationfor this bird is: DD = 2.69 + 0.0138D.(a) What is the slope of the regression line? Explain in specific language what thisslope says about this penguins dives.(b) According to the regression line, how long does a typical dive to a depth of200 meters last?(c) The dives varied from 40 meters to 300 meters in depth. Plot the regressionline from x = 40 to x = 300.