Question

the table shows the total profit, in dollars, from concert ticket sales, x, and the number of auditorium seats available, y.
what does the correlation coefficient for the data indicate about the linear association between the total profit from concert ticket sales and the number of auditorium seats available?
there is a strong negative linear association.
there is a strong positive linear association.
there is a weak negative linear association.
there is a weak positive linear association.

Explanation:

As the total profit (\(x\)) increases, the number of seats available (\(y\)) decreases. This indicates a negative association. Looking at the data points: when \(x = 1250\), \(y=475\); when \(x = 2500\), \(y = 450\); when \(x=7500\), \(y = 350\); when \(x = 15000\), \(y=200\); when \(x=17500\), \(y = 150\); when \(x=25000\), \(y = 0\). The change is relatively consistent. A strong negative linear association means that as one variable (profit) goes up, the other variable (seats available) goes down in a fairly predictable linear - like fashion.

Answer:

There is a strong negative linear association.