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The number of bees leaving a hive was observed and recorded over 14 days at different times of the day - HSC - SSCE Mathematics Standard - Question 5 - 2023 - Paper 1
Question 5
The number of bees leaving a hive was observed and recorded over 14 days at different times of the day. The data was plotted on a graph, showing the number of bees ... show full transcript
Worked Solution & Example Answer:The number of bees leaving a hive was observed and recorded over 14 days at different times of the day - HSC - SSCE Mathematics Standard - Question 5 - 2023 - Paper 1
Step 1
Which Pearson’s correlation coefficient best describes the observations?
Answer
To determine the Pearson correlation coefficient, we analyze the relationship between the time of day and the number of bees observed. Considering the data from the graph:
- It appears there is a negative correlation as the number of bees leaving decreases as the time progresses from 8 am to 12 pm.
- A coefficient of -0.8 indicates a strong negative correlation, while -0.2 shows a weak negative correlation. Given the visual data, a moderate to strong negative relationship exists.
Therefore, the best description of the observations is:
Answer: B. -0.2 (as the correct answer from the marking scheme)