Researchers collected data from a group of people who completed 30 minutes of moderate exercise based on their age. The table and scatterplot show each person’s age and the maximum heart rate in beats per minute (bpm) each person reached while exercising.
Exercise Research
x 27 32 36 39 42 45 48 54
h(x) 162 141 165 141 137 152 90 81
It seems that you're explaining a dataset where "x" represents the age of the participants and "h(x)" represents their maximum heart rate in bpm (beats per minute) during 30 minutes of moderate exercise. The table you've provided is as follows:
```
Age (x) | Max Heart Rate (h(x))
---------|----------------------
27 | 162
32 | 141
36 | 165
39 | 141
42 | 137
45 | 152
48 | 90
54 | 81
```
Unfortunately, you haven't provided the scatterplot, but I can explain how the data would generally be interpreted:
- A scatterplot would display this data with the ages on the x-axis (horizontal axis) and the max heart rates on the y-axis (vertical axis).
- Each pair of values (age, max heart rate) would be marked as a distinct point on the plot.
- By examining the spread and pattern of these points, researchers could look for a relationship between age and maximum heart rate.
Typically, one would expect to see a trend where maximum heart rate decreases as age increases due to the natural decline in heart performance with age. However, with such a small dataset and seeing some inconsistencies (e.g., a 36-year-old reaching a higher heart rate than a 27-year-old), it would be hard to make conclusive statements. The two lowest heart rate data points for the 48 and 54-year-old participants stand out as being much lower than the others, which could be indicative of anomalies or suggest a stronger declining trend in maximum heart rate after a certain age.
A more detailed analysis would require statistical tools like correlation coefficients to measure the strength of the relationship and potentially regression analysis to model the relationship between age and maximum heart rate. These statistical analyses could help signify how strongly age predicts maximum heart rate and whether there are other factors at play.