Wyatt wants to study the relationship between the number of siblings that a student has and the student’s grade-point average using a scatterplot. He believes that if the points form a straight line, then there is a relationship between the two variables. Which scatterplot proves that Wyatt’s statement is not always true?
Answer
A
Image with description A scatterplot titled number of siblings versus grade point average is shown on a first quadrant coordinate plane. The x axis is labeled number of siblings and ranges from 0 to 5 in increments of 1. The y axis is labeled grade point average and ranges from 0 to 5 in increments of 1. There is a point at (1 comma 3). There is a point at (2 comma 3). There is a point at (3 comma 3). There is a point at (4 comma 3).
B
Image with description A scatter plot on a Cartesian coordinate plane showing a discrete linear relationship. The horizontal axis is labeled x and 'Number of siblings,' with tick marks from 1 to 5 at intervals of 1. The vertical axis is labeled y and 'Grade-point average,' with tick marks from 1 to 5 at intervals of 1. Data points are plotted at (1 comma 1), (2 comma 2), (3 comma 3), and (4 comma 4).
C
Image with description A scatterplot titled number of siblings versus grade point average is shown on a first quadrant coordinate plane. The x axis is labeled number of siblings and ranges from 0 to 5 in increments of 1. The y axis is labeled grade point average and ranges from 0 to 5 in increments of 1. There is a point at (1 comma 4). There is a point at (2 comma 3). There is a point at (3 comma 2). There is a point at (4 comma 1).
D
Image with description A scatterplot titled number of siblings versus grade point average is shown on a first quadrant coordinate plane. The x axis is labeled number of siblings and ranges from 0 to 5 in increments of 1. The y axis is labeled grade point average and ranges from 0 to 5 in increments of 1. There is a point at (1 comma 4). There is a point at (2 comma 3). There is a point at (3 comma 4). There is a point at (4 comma 3).