Motion Physics problem?

Question

I'm curious if I'm doing this problem right, and I have a question at the end of it too.

Time (sec)/ Position (meters)
0s/0.0m
1s/3.1m
2s/6.3m
3s/9.3m
4s/12.2m
5s/15.5m
6s/18.5m

a) It asks me to mark it all on a graph paper which I did, and then asked "What do you notice about the spacing of positions? I put "The spacing stays relativly the 3m for each second. It then asks why. Im not sure what a good answer here would be but I put that I think it is because the object that is in motion is set to go a constant speed. I dont think thats a good answer though, does anyone know something better?

b) I then have to calculate the speed of the object at each intervals, I used average velocity and got:
0-1s: 3.1m/s
1-2s: 3.2m/s
2-3s: 3.0m/s
3-4s: 2.9m/s
4-5s: 3.3m/s
5-6s: 3.0m/s

Do those look correct to everyone?

c) It says to plot a function of time and to draw a best-fit line through the points..how do I draw a best-fit line? It says not to connect the dots

Answer 1

Draw a single line fit that minimizes the distance between all the points and your line. For this data draw y=average value of all velocities.