The scatterplot below shows the rainfall (in mm) and the percentage of clear days for each month of 2008.
An equation of the least squares regression line for this data set is
rainfall = 131 – 2.68 × percentage of clear days
- Draw this line on the scatterplot. (1 mark)
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- Use the equation of the least squares regression line to predict the rainfall for a month with 35% of clear days. Write your answer in mm correct to one decimal place. (1 mark)
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- The coefficient of determination for this data set is 0.8081.
- i. Interpret the coefficient of determination in terms of the variables rainfall and percentage of clear days. (1 mark)
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- ii. Determine the value of Pearson’s product moment correlation coefficient. Write your answer correct to three decimal places. (2 marks)
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