A runner times her to see how long it takes her to run different distances. The table shows the runner's times (in minutes) for running several distances (in miles).

Question

Miles| 1 | 2 | 3 | 4 | 6 | 8 | 10 | 12|
Time | 7|16|30|35|57|75|106|132|

About how long would you expect it to take this runner to run 17 miles? Find a line of best fit for this data and use it to make your prediction.

205 minutes
172 minutes
161 minutes
183 minutes

I have grid paper right by me, I've been trying for a little now, but I don't know if I'm doing the whole line of best fit thing right...

Answer 1

Study this video
https://www.youtube.com/watch?v=ugmhjwAQDIE

Here is another, a bit less boring in its presentation:
https://www.youtube.com/watch?v=DmGLQkUm-4g

Keep in mind that this is an approximation, so not every
student in the class would necessarily have the same result

Answer 2

Plot your points.
To find the line of best fit you try to do the following things
1) Use a ruler to see where the line fits (you try for about half the points above the line and half the points below the line).
2) See if your ruler will hit two points while getting half the points above the line and half below.
Let me know where you think the line goes (through which points)

Answer 3

I plotted your points...
So I have a line of best fit in mind.
It "may" be very similar to your line.
Let me know two points your line goes through : )

Answer 4

My line has 4 over 1 under and went through 3 of my dots I placed on, and I went upwards diagonally

Answer 5

Its 183.