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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 Advanced - Question 1 - 2023 - Paper 1
Question 1
The number of bees leaving a hive was observed and recorded over 14 days at different times of the day. The data is represented in the scatter plot provided, which ... 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 Advanced - Question 1 - 2023 - Paper 1
Step 1
Which Pearson’s correlation coefficient best describes the observations?
Answer
To determine which Pearson’s correlation coefficient best describes the observations, we first analyze the scatter plot. We note that as the time of day progresses from 8 am to 12 pm, there is a slight upward trend in the number of bees leaving the hive.
This suggests a positive correlation between time and the number of bees. A Pearson's correlation coefficient of 0.8 indicates a strong positive correlation.
Therefore, the answer to which coefficient best describes the observations is D. 0.8.