Question

Make a quick plot of the cumulative times vs. cumulative distances for Student 2. To clarify, your first data point would be (400 m, 64 s) and your second data point would be (800 m, 128 s), etc... From the slope of a linear regression of your graph, calculate the average speed (in m/s) of Student 2 as he runs the 6 laps. Round your answer to 2 decimal places.

Lap times (s) for 2 students running on a track

	Time 1	Time 2	Time 3	Time 4	Time 5	Time 6
student 1	55	112	162	218	273	333
student 2	64	128	192	260	331	393

Answer 1

From the table given, the data points will be as shown below. for student 2.

Position	Time
400	64
800	128
1200	192
1600	260
2000	331
2400	393

If we draw a graph with time on the X axis and distance travelled on the Y axis,

the slope of the graph will be equal to the average speed.

Here,

The graph is shown below.

From the graph's linear fit,

Average speed = slope = 6.0273 m/s