Question

constructing scatterplots
the data is plotted as points so a relationship can be visualized. is there a relationship? if yes, explain the relationship.
no, there is no relationship between the number of homeruns and the years played.
yes, there is a relationship. as the years increase, homeruns increase.
yes, there is a relationship. as the years increase, homeruns decrease.
yes, there is a relationship. as the years decrease, homeruns increase.

Explanation:

Step1: Analyze the scatter - plot

Look at the general trend of the points. If we consider the \(x\) - axis (years) and \(y\) - axis (homeruns), we check if there is an upward or downward trend.

Step2: Determine the trend

The points do not show a clear upward (where as \(x\) increases, \(y\) consistently increases) or a clear downward (where as \(x\) increases, \(y\) consistently decreases) trend. For example, when \(x = 2\), \(y=30\); when \(x = 4\), \(y = 36\); when \(x=6\), \(y = 28\); when \(x = 8\), \(y=36\); when \(x = 10\), \(y=24\). There is no consistent pattern of increase or decrease.

Answer:

No, there is no relationship between the number of homeruns and the years played.