Answer:
a) m = 0.0138
b) 0.0138 minutes
c) 6.057 minutes
Step-by-step explanation:
We are given the following in the question:
The relation of dive duration (DD) to depth (D) is given by the regression equation:

Duration DD is measured in minutes, and depth D is in meters.
Here, DD is the dependent variable and D is the independent variable.
Comparing the equation to a linear equation, we have,

where m is the slope of the equation and gives the rate of change and c is the y-intercept that is value of y when x is zero.
m = 0.0138
c = 2.69
a) slope of the regression line
The slope of the regression lines, m = 0.0138
b) increase in the diving duration, if the depth of the dive increases by one meter

Thus, On average, if the depth of the dive increases by one meter, 0.0138 minutes is the increase in the diving duration.
c) Duration of a typical dive to a depth of 244 meters
We put D = 244

It takes 6.057 minutes for a dive of 244 minutes.