Question

which of the following statements describe the data. select all that apply. shark size a. the association is strong. b. the association is weak. c. there is a negative association. d. there is a positive association. e. there is an outlier at (0, 20). f. there is an outlier at (20, 0).

Explanation:

Step1: Analyze the scatter - plot

In a scatter - plot, if the points are spread out, the association is weak. If they are closely clustered around an imaginary line, the association is strong. Here, the points are not closely clustered, so the association is weak.
For the direction of association: as \(x\) (mass) increases, \(y\) (length) increases. But wait, no! Wait, actually, if we consider the general trend (even though it's weak), we made a mistake. Wait, no, looking at the \(y\) - axis (length) and \(x\) - axis (mass). If we assume a wrong initial thought. Wait, no, actually, if we look at the points, as \(x\) (mass) increases, \(y\) (length) increases. But wait, no! Wait, no, the \(x\) - axis is mass and \(y\) - axis is length. If we consider the general trend (even with the spread), as mass (\(x\)) increases, length (\(y\)) increases. But wait, no! Wait, no, the problem is, looking at the scatter - plot:

• Association strength: The points are not tightly clustered. So the association is weak.
• Association direction: As \(x\) (mass) increases, \(y\) (length) increases. So it's a positive association. But wait, no! Wait, no, the options:
• Option B: The association is weak. Correct, because points are spread.
• Option C: There is a negative association. Incorrect, because as \(x\) (mass) increases, \(y\) (length) increases (positive direction).
• Option F: There is an outlier at \((20,0)\). Looking at the \(x\) - axis (mass) and \(y\) - axis (length). A shark with mass \(20\) kg and length \(0\) cm is an outlier (non - sensical in the context of shark size, and also separated from the other points).

Answer:

B. The association is weak, F. There is an outlier at \((20,0)\)