Question

wyatt wants to study the relationship between the number of siblings that a student has and the students 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 wyatts statement is not always true?

Explanation:

Step1: Analyze the first scatter - plot

In the first scatter - plot, the points do not form a straight line. But we need to check all options.

Step2: Analyze the second scatter - plot

The second scatter - plot has points that form a straight line with a negative slope. Here, there is a relationship (negative correlation) between the number of siblings and grade - point average.

Step3: Analyze the third scatter - plot

The third scatter - plot has points that form a horizontal straight line. The \(y\) - value (grade - point average) is constant (\(y = 3\)) regardless of the \(x\) - value (number of siblings). So, there is no relationship between the number of siblings and grade - point average even though the points form a straight line.

Step4: Analyze the fourth scatter - plot

The fourth scatter - plot has points that form a straight line with a positive slope. Here, there is a relationship (positive correlation) between the number of siblings and grade - point average.

Answer:

The third scatter - plot (the one with a horizontal line of points) proves that Wyatt's statement is not always true.