Problem: 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.10 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 =2.69 +0.0138D."
Required:
(i) What is the slope of the regression line? Explain in specific language what this slope says about this penguin's dives.
(ii) According to the regression line, how long does a typical dive to a depth of 200 meters last?
(iii) The dives varied from 40 meters to 300 meters in depth. Plot the regression line from D=40 to D=300.