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FURMATH CAT 2B 4The following scatterplot was constructed from the data in Table 1 to investigate the relationship betweenmonthly rainfall and the number of days it rains each month.706050rainfall(mm)4030201000 5 10 15number of rain daysQuestion 2a. Plot the point that represents the data for December on the scatterplot.1 markb. The value of Pearson’s product moment correlation coefficient, found from the data in Table 1, isr = 0.9308, correct to four decimal places. What is the value of the coefficient of determination, correct tothree decimal places?1 markc. The key assumption made about the nature of the relationship between monthly rainfall and the number ofrain days, when calculating Pearson’s product moment correlation coefficient, is that the relationship is1 markTotal 3 marks
5 FURMATH CAT 2BWhen a least squares regression line is fitted to the data in Table 1, its equation is found to berainfall = 15.2 + 3.7 × number of rain days.Question 3a. Complete the following sentence by filling in the box.From the regression equation we can conclude that monthly rainfall increases on average bymillimetres for each extra day it rains in the month.1 markb. Use the regression equation to predict the rainfall (in millimetres) of a month in which it rains for 10 days.rainfall = mm1 markTotal 2 marksEND OF PART II QUESTION AND ANSWER BOOK
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