QUESTION IMAGE
Question
a group of 25 middle school students participated in a study during their physical education course. their working heart rate and their recovery heart rate were recorded during and after their exercise, both in beats per minute (bpm). a working heart rate is the highest heart rate a person has during exercise. the recovery heart rate is the difference between their working heart rate and their post - exercise resting heart rate. the data is represented in the scatter plot below. use the scatter plot and the residuals to determine and interpret the strength and direction of the correlation.
the correlation
- a weak positive correlation
- a weak negative correlation
- a strong positive correlation
- a strong negative correlation
there is blank between the middle school students working heart rate and recovery heart rate
To determine the correlation, we analyze the scatter plot and the trend line. A positive correlation means as one variable (working heart rate) increases, the other (recovery heart rate) also increases. A "weak" correlation has data points more spread out around the trend line, while "strong" has them closer. The scatter plot here shows a positive trend (upward - sloping line) but with some spread, indicating a weak positive correlation.
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a weak positive correlation