The number of bees leaving a hive was observed and recorded over 14 days at different times of the day.
Which Pearson's correlation coefficient best describes the observations?
Statistics, STD2 S4 2020 HSC 12 MC
For a set of bivariate data, Pearson's correlation coefficient is –1.
Which graph could best represent this set of bivariate data?
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Statistics, STD2 S4 EQ-Bank 4
Ten high school students have their height and the length of their right foot measured.
The results are recorded in the table below.
- Using technology, calculate Pearson's correlation coefficient for the data. Give your answer to 3 decimal places. (1 mark)
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- Describe the strength of the association between height and length of right foot for these students. (1 mark)
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- Using technology, determine the least squares regression line that allows height to be predicted from right foot length. (1 mark)
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Statistics, STD2 S4 2019 HSC 23
A set of bivariate data is collected by measuring the height and arm span of seven children. The graph shows a scatterplot of these measurements.
- Calculate Pearson's correlation coefficient for the data, correct to two decimal places. (1 mark)
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- Identify the direction and the strength of the linear association between height and arm span. (1 mark)
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- The equation of the least-squares regression line is shown.
Height = 0.866 × (arm span) + 23.7
A child has an arm span of 143 cm.
Calculate the predicted height for this child using the equation of the least-squares regression line. (1 mark)
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