3 A The Diameter And Height Of Individuals Of A Particular Type Of Plant Were Recorded A Scatter Plot Of The Data Wa 1 (43.43 KiB) Viewed 36 times
3 A The Diameter And Height Of Individuals Of A Particular Type Of Plant Were Recorded A Scatter Plot Of The Data Wa 2 (29.5 KiB) Viewed 36 times
3. (a) The diameter and height of individuals of a particular type of plant were recorded. A scatter plot of the data was produced, Spearman's rank correla- tion was estimated and a bootstrap confidence interval was constructed using R. Here is the output. Spearman's rank correlation rho data: plant$diameter and plant Sheight S = 8383000, p-value < 2.2-16 alternative hypothesis: true rho is not equal to 0 0.010 o 80 Diameter 0.006 sample estimates: Tho 0.6892838 2000 0.0 02 08 1.0 0.4 0.6 Height Bootstrap CI: 2.5% 97.5% 0.6385859 0.7337144 i. Interpret the association between diameter and height. ii. List the steps required to construct the bootstrap confidence interval i Interpret the confidence interval 123. marec
(b) The following dataset was taken from a bivariate (X,Y) population. х Y 14 40 18 58 22 50 27 100 i. Sketch a rough scatter plot of Y versus X ii. Estimate Kendall's tau for these data. iii. Which measure of association is appropriate for these data: Kendall's tau or Pearson's correlation? Why? (10 marks)
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