Question

graduation rate is one measure used to compare colleges in national publications. one such publication compared semester tuition against graduation rate, defined as the percentage of students who graduate within four years. the value of r for the scatterplot is 0.856. which of the following is an appropriate summary of the scatterplot? there is no relationship between tuition and graduation rate. colleges with lower tuition tend to have higher graduation rates. colleges with higher tuition tend to have higher graduation rates. there is a weak, positive relationship between tuition and graduation rate.

Explanation:

Step1: Analyze the correlation coefficient \(r\)

The correlation coefficient \(r = 0.856\). Since \(r>0\), it indicates a positive relationship. A value of \(r = 0.856\) is close to \(1\), which means the relationship is strong.

Step2: Analyze the scatter - plot trend

Looking at the scatter - plot, as the tuition (x - axis) increases, the graduation rate (y - axis) also increases.

Answer:

Colleges with higher tuition tend to have higher graduation rates.