Question

a. constant correlation
b. negative correlation
c. positive correlation
d. no correlation

Explanation:

Step1: Analyze the trend of the scatter - plot

In a scatter - plot, if as the \(x\) - values increase, the \(y\) - values decrease, it is a negative correlation.
In this scatter - plot, as \(x\) (horizontal axis) increases from left to right (e.g., from \(x = 10\) to \(x=45\)), \(y\) (vertical axis) decreases (e.g., from \(y = 30\) to \(y = 14\)).

Step2: Rule out other options

• A constant correlation would imply that \(y\) does not change with \(x\), which is not the case here.
• A positive correlation would mean that as \(x\) increases, \(y\) also increases.
• No correlation would mean that there is no discernible pattern between \(x\) and \(y\) values.

Answer:

B. negative correlation