Question

determine whether the graph shows a positive correlation, a negative correlation, or no correlation. if there is a positive negative correlation, describe its meaning in the situation. average cycling speed a. no correlation b. negative; as time passes, speed decreases c. positive: as time passes, speed increases

Explanation:

Step1: Analyze the trend of the data points

As the \(x -\)axis (minutes) increases, the \(y -\)axis (miles per hour) decreases.

Step2: Recall the definitions of correlations

• Positive correlation: \(y\) increases as \(x\) increases.
• Negative correlation: \(y\) decreases as \(x\) increases.
• No correlation: No clear pattern of \(y\) with respect to \(x\).

Since \(y\) (speed) decreases as \(x\) (time) increases, it is a negative correlation.

Answer:

B. negative; as time passes, speed decreases