Every morning, Naomi jogs the same 2-mile route around her neighborhood. She selects a random sample of days and records the time it takes her to complete the route as well as her pulse rate just after she gets home. She calculated a Pearson correlation coefficient of r = -0.71 and below is a plot of her data: Figure 1- Jog Time and Pulse Rate (սյա}: 150

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Every morning, Naomi jogs the same 2-mile route around her neighborhood. She selects a
random sample of days and records the time it takes her to complete the route as well as
her pulse rate just after she gets home. She calculated a Pearson correlation coefficient of
r = -0.71 and below is a plot of her data:
Figure 1- Jog Time and Pulse Rate
Pulse Rate (beats/min)
150
140
130
120
14.0
14.5
15.0
Two-Mile Time (min)
15.5
16.0
a. Is reporting a Pearson correlation coefficient appropriate for this data? If so,
interpret the value in context. If not, explain why not.
b. Suppose Naomi added another day with a jog time of 16 minutes and a pulse rate of
155 beats/minute. If she recalculates the correlation to include this additional data
point, would the correlation get stronger, weaker, or stay exactly the same2
Transcribed Image Text:Every morning, Naomi jogs the same 2-mile route around her neighborhood. She selects a random sample of days and records the time it takes her to complete the route as well as her pulse rate just after she gets home. She calculated a Pearson correlation coefficient of r = -0.71 and below is a plot of her data: Figure 1- Jog Time and Pulse Rate Pulse Rate (beats/min) 150 140 130 120 14.0 14.5 15.0 Two-Mile Time (min) 15.5 16.0 a. Is reporting a Pearson correlation coefficient appropriate for this data? If so, interpret the value in context. If not, explain why not. b. Suppose Naomi added another day with a jog time of 16 minutes and a pulse rate of 155 beats/minute. If she recalculates the correlation to include this additional data point, would the correlation get stronger, weaker, or stay exactly the same2
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