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.Step 1:What is the slope of the regression line?

Answer 1

0.0138 minutes/meter

Explanation:

A linear regression model is given by the following general equation:

`y= m*x +c`

Where 'y' changes as a function of 'x', 'c' is a constant and 'm' is the slope that dictates the rate of change.

The given equation for the duration of a dive (DD), in minutes as a function of depth (D) in meters is:

`DD = 0.0138D +2.69`

Comparing this equation to the general model, the rate of 0.0138 minutes per meter, is our slope 'm'

Therefore, the slope of the regression line is 0.0138.