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. What is the slope of the regression line?

Answer:[tex]b = 0.0138[/tex]Step-by-step explanation:GivenRegression Equation:[tex]DD=2.69+0.0138D[/tex]RequiredDetermine the slope of the regression lineThe 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]