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

Answer:

$b = 0.0138$

Step-by-step 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:

$b = 0.0138$