A study of king penguins looked for a relationship between h

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 = 2.64 + 0.01 D.\"

What is the slope of the regression line? __________?

(Round your answer to the nearest hundredth.)

This means that on average, if the length of the dive increases by one meter, the diving duration increases by ___________? minutes. (Round your answer to the nearest hundredth.)

According to the regression line, how long does a typical dive to a depth of 247 meters last?

_______? minutes. (Round your answer to the nearest tenth.)

Solution

Slope of regression line is 0.01=1 hundredth.

This means that on average, if the length of the dive increases by one meter, the diving duration increases by 0.01 (or 1 hundreth) minutes.

DD=2.64+0.01*247=2.64+2.47= 5.11 (in minutes)