59.3k views
2 votes
For which of the following situations would a linear function be a reasonable choice for a mathematical model?

-The success rate of field-goal kicking as a function of distance from the goal post
-The number of people who have heard something as a function of time after the first person is told
-Stopping distance (in a car) as a function of speed

User Deba
by
8.2k points

2 Answers

2 votes

The third option is the best option.

User Lovasoa
by
8.3k points
3 votes
The third option is the best fit for the application of a linear model.

In the first option, there is likely to be a correlation but it cannot be a linear one as goals are missed even from inside the keeper's box.

In the second option, it is safe to assume that each person will at least 2 other so this will follow an exponential model.

In the third option, the stopping distance is given by the equation of motion:
s = ut + 1/2 x at²
And this shows that the distance varies linearly with speed.
User Banderi
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories