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)." DurationDDis measured in minutes, and depthDis in meters. The report then says, "The regression equation for this bird is:DD=2.56+0.0146D."

(a) What is the slope of the regression line? (Enter your answer to four decimal places.)

Explain in specific language what this slope says about this penguin's dives.

The slope tells us the additional minutes spent under water, on average, if the depth of dive is increased by one meter.

The slope tells us the average number of dives.

The slope tells us the additional depth dived by a penguin.

The slope tells us the average depth of each dive.

The slope tells us the additional time spent under water, on average, if the depth of dive is increased by one kilometer.

(b) According to the regression line, how long does a typical dive to a depth of193meters last? (Round your answer to two decimal places.)

minutes

(c) The dives varied from 40 meters to 300 meters in depth. Use the regression equation to determine DD forD= 40andD= 300. (Enter your answers to three decimal places.)

DD(40)=DD(300)=