Which two quantitative variables would show that a straight line will be produced on a scatterplot?

time it takes to get to the grocery store and the number of grocery items purchased
time spent studying for an exam and the grade on the exam
time spent playing video games and adult shoe size
time spent mowing the lawn and the number of snakes in the yard

1 answer

The pairing of "time spent studying for an exam and the grade on the exam" is most likely to produce a straight line on a scatterplot. This is because, generally, as time spent studying increases, the grade on the exam also tends to increase in a predictable manner, creating a linear relationship between the two variables.

The other pairs may not necessarily exhibit a linear relationship in the same clear way:

  • "Time it takes to get to the grocery store and the number of grocery items purchased" could vary greatly depending on factors unrelated to time.
  • "Time spent playing video games and adult shoe size" likely has no relevant relationship.
  • "Time spent mowing the lawn and the number of snakes in the yard" does not suggest a clear linear relationship either.

So, the best choice is time spent studying for an exam and the grade on the exam.

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