Which two quantitative variables would show that a straight line will be produced on a scatterplot?(1 point)
Responses
A time spent playing video games and adult shoe size
B time spent mowing the lawn and the number of snakes in the yard
C time it takes to get to the grocery store and the number of grocery items purchased
D time spent studying for an exam and the grade on the exam
D
The correct answer is D) time spent studying for an exam and the grade on the exam.
To determine which two quantitative variables would show a straight line on a scatterplot, we need to consider the relationship between the variables. In order for a straight line to be produced on a scatterplot, there must be a linear relationship between the two variables, meaning that as one variable increases, the other variable also increases (or decreases) consistently.
Let's analyze the options:
A) Time spent playing video games and adult shoe size: These two variables are unlikely to have a linear relationship. Shoe size is related to factors like genetics and growth, which may not have a direct correlation with the time spent playing video games.
B) Time spent mowing the lawn and the number of snakes in the yard: These variables are also unlikely to have a linear relationship. The number of snakes in the yard is not directly related to the time spent mowing the lawn, as the presence of snakes would depend on various other factors.
C) Time it takes to get to the grocery store and the number of grocery items purchased: These variables are also unlikely to have a linear relationship. The number of grocery items purchased does not necessarily depend on the time it takes to get to the store, as it could vary depending on factors like shopping habits, needs, and preferences.
D) Time spent studying for an exam and the grade on the exam: This option has the highest likelihood of having a linear relationship. Typically, the more time someone spends studying for an exam, the higher their grade is likely to be. This demonstrates a consistent pattern of increase and suggests a linear relationship between the two variables.
Based on the analysis, the correct answer would be option D: time spent studying for an exam and the grade on the exam.