Question

6 the table below shows the number of days since several students added money to their lunch accounts and the balance of the lunch account. a. describe any association and conclusions you can make from the graph. b. does the graph appear to have any outliers? explain. c. does the graph demonstrate clustering? explain.

Explanation:

a. As the number of days increases, the lunch - account balance generally decreases. This indicates a negative association. We can conclude that over time, students are spending money from their lunch accounts.
b. The point (1, 20.00) may be an outlier. When \(x = 1\) (only 1 day has passed), the balance \(y=20.00\) is much higher than what we might expect based on the general trend of decreasing balance with increasing days. For example, when \(x = 2\), \(y = 18.50\).
c. There is no obvious clustering. Clustering would mean that several data points are grouped closely together in a particular region of the graph. Looking at the data points (based on the \(x\) (days) and \(y\) (balance) values), there is no such concentration of points in a specific area.

Answer:

a. There is a negative association. As days increase, balance decreases.
b. Yes, the point \((1,20.00)\) may be an outlier.
c. No, there is no obvious clustering.