Question: Penguins diving. 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 is measured in minutes, and depth D is in meters. The report then says, "The regression equation for this bird is:

(a) What is the slope of the regression line? Explain in specific language what- this slope says about this penguin's dives.

(b) According to the regression line, how long does a typical dive to a depth of 200 meters last?

(c) The dives varied from 40 meters to 300 meters in depth. Plot the regression line from x = 40 to x = 300.