Question

question 19 of 39 > 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 scatter - plot 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.” according to the regression line, how long does a typical dive to a depth of 150 meters last? give your answer to two decimal places. dd = minutes

Explanation:

Step1: Identify the regression equation

The regression equation is $DD = 2.69+0.0138D$, where $DD$ is dive - duration in minutes and $D$ is depth in meters.

Step2: Substitute the given depth value

We are given $D = 150$ meters. Substitute $D = 150$ into the regression equation:
$DD=2.69 + 0.0138\times150$.

Step3: Perform the multiplication

$0.0138\times150 = 2.07$.

Step4: Perform the addition

$DD=2.69+2.07=4.76$.

Answer:

$4.76$