Question

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.)

Answer 1

The slope of the regression line is 0.01.

Explanation:

The given regression equation for this bird is

`DD=2.64+0.01D` .... (1)

where, DD is dive duration measured in minutes, and D is depth in meters.

The slope intercept form of a line is

`y=mx+b` .... (2)

where, m is slope and b is y-intercept.

On comparing equation (1) and (2), we get

`y=DD,x=D,m=0.01,b=2.64`

Since, m=0.01, therefore the slope of the regression line is 0.01.