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 = 2.69 + 0.0138 D .
(a) What is the slope of the regression line? (Enter your answer rounded to four decimal places.) slope =
(b) On average, if the depth of the dive increases by one meter, what is the increase in the diving duration? (Enter your answer rounded to four decimal places.) increase in duration = minutes
(c) According to the regression line, how long does a typical dive to a depth of 159 meters last? (Enter your answer rounded to three decimal places.) length of dive = minutes