The regression equation provided in the question is:

$DD = 2.69 + 0.0138D$

Here, the slope is the coefficient of $D$, which represents how the dive duration (DD) changes with respect to the depth (D).

Thus, the slope is 0.0138.

Now let's interpret the slope:

The slope of 0.0138 means that for every 1-meter increase in depth (D), the dive duration (DD) increases by 0.0138 minutes.

Best explanation:

The correct explanation is:

"On average, as depth increases 1 meter, the duration of the dive increases 0.0138 minutes."

Would you like further clarification or have any other questions?

Here are 5 related questions:

1. What does the y-intercept (2.69) represent in the regression equation?
2. How would the regression line change if the slope were negative?
3. If a penguin dives to a depth of 100 meters, what would the predicted dive duration be?
4. What are some potential limitations of using a linear regression model in this scenario?
5. How can the strength of the linear relationship between dive duration and depth be measured?

Tip: When interpreting regression results, the slope tells you how much the dependent variable (here, dive duration) changes for every unit increase in the independent variable (depth).