Answered

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 :

MrRoyal

Answer:

[tex]b = 0.0138[/tex]

Step-by-step explanation:

Given

Regression Equation:

[tex]DD=2.69+0.0138D[/tex]

Required

Determine the slope of the regression line

The equation of regression is of the form

[tex]Y = a + bX[/tex]

Where b represents the slope;

Compare [tex]Y = a + bX[/tex] to the given equation

[tex]DD=2.69+0.0138D[/tex]

We have that:

[tex]Y = DD[/tex]

[tex]a = 2.69[/tex]

[tex]b = 0.0138[/tex]

[tex]X = D[/tex]

Hence; the slope is:

[tex]b = 0.0138[/tex]

Other Questions