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=2.69+0.0138D. (a) What is the slope of the regression line? (Enter your answer rounded to four decimal places.)

Answer 1

`b = 0.0138`

Explanation:

Given

Regression Equation:

`DD=2.69+0.0138D`

Required

Determine the slope of the regression line

The equation of regression is of the form

`Y = a + bX`

Where b represents the slope;

Compare
`Y = a + bX` to the given equation

`DD=2.69+0.0138D`

We have that:

`Y = DD`

`a = 2.69`

`b = 0.0138`

`X = D`

Hence; the slope is:

`b = 0.0138`