Question

determine whether the graph shows a positive correlation, a negative correlation, or no correlation. if there is a positive or negative correlation, describe its meaning in the situation. average cycling speed graph with y - axis labeled miles per hour (values: 2, 4, 6, 8, 10, 12, 14, 16, 18) and x - axis labeled minutes (values: 5, 10, 15, 20, 25, 30, 35); points plotted a. no correlation

Explanation:

To determine the correlation, we analyze the scatter plot. The x - axis represents time in minutes, and the y - axis represents average cycling speed in miles per hour. As the time (minutes) increases, the average cycling speed (miles per hour) decreases. This indicates a negative correlation because the two variables (time and cycling speed) move in opposite directions. A negative correlation here means that as the time spent cycling (in minutes) increases, the average cycling speed tends to decrease. The option "no correlation" is incorrect because there is a clear downward trend in the data points.

Answer:

The graph shows a negative correlation. As the number of minutes (time spent cycling) increases, the average cycling speed (in miles per hour) tends to decrease. The option "a. no correlation" is incorrect. The correct description is that there is a negative correlation where an increase in time (minutes) is associated with a decrease in average cycling speed.