Which two quantitative variables would show that a straight line will be produced on a scatterplot?(1 point)
Responses
time it takes to get to the grocery store and the number of grocery items purchased
time it takes to get to the grocery store and the number of grocery items purchased
time spent playing video games and adult shoe size
time spent playing video games and adult shoe size
time spent studying for an exam and the grade on the exam
time spent studying for an exam and the grade on the exam
time spent mowing the lawn and the number of snakes in the yard
time spent studying for an exam and the grade on the exam
Use the tables to create scatterplots and determine which scatterplot shows a linear association.(1 point)
Responses
x 5 8 2 4 6 12 10 1 3 7
y 800 700 350 450 500 1000 900 250 400 750
x 5 8 2 4 6 12 10 1 3 7
y 550 800 350 450 700 1000 900 250 400 750
x 5 8 2 4 6 12 10 1 3 7
y 550 800 250 500 500 400 650 150 400 750
x 5 8 2 4 6 12 10 1 3 7
y 550 800 250 300 700 1000 650 300 100 700
The scatterplot that shows a linear association is:
x 5 8 2 4 6 12 10 1 3 7
y 550 800 350 450 700 1000 900 250 400 750
The two quantitative variables that would show that a straight line will be produced on a scatterplot are:
1. Time spent studying for an exam and the grade on the exam: This relationship suggests that as the amount of time spent studying increases, the grade on the exam also increases. Therefore, a straight line would be expected on the scatterplot, indicating a positive correlation between studying time and exam grade.
To determine if a straight line would be produced, you would need to collect data on the time spent studying for each exam and the corresponding grade. After collecting the data, plot the time spent studying on the x-axis and the exam grade on the y-axis of a scatterplot. If the points on the scatterplot form a linear pattern, indicating a straight line relationship, then it can be concluded that a straight line will be produced.
2. Time spent playing video games and adult shoe size: The relationship between these two variables is independent of each other, which means that there is no expected relationship or correlation. Therefore, a straight line would not be produced on the scatterplot.
To determine if a straight line would be produced, you would need to collect data on the time spent playing video games for each individual and their corresponding adult shoe size. After collecting the data, plot the time spent playing video games on the x-axis and the adult shoe size on the y-axis of a scatterplot. If the points on the scatterplot do not show a clear and consistent pattern, it can be concluded that a straight line will not be produced.