Problem 1. Complete the following problems for the sample of two variables (X,Y). (0.2, 1.1), (1.2, 2.3), (0.9, 1.1), (2

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Problem 1 Complete The Following Problems For The Sample Of Two Variables X Y 0 2 1 1 1 2 2 3 0 9 1 1 2 1 (131.84 KiB) Viewed 64 times

Problem 1. Complete the following problems for the sample of two variables (X,Y). (0.2, 1.1), (1.2, 2.3), (0.9, 1.1), (2.2, 3.6), (3.2, 0.1), (0.3, 1.0), (1.7,6.9) (3.1, 4.8), (2.3, 6.5), (1.5, 7.8), (2.5, 5.8), (3.0, 8.0), (2.6, 9.4), (9.0, 9.8). (i) Read Zi's into x by using r=c(0.2,1.2,0.9,2.2, 3.2,0.3,1.7,3.1,2.3,1.5,2.5,3.0,2.6,9.0), plot the histogram of ri's by using hist(2), and then check the distribution shape. Plot the histogram of Yi's in a similar manner. (ii) For I;'s and yi's, respectively, compute the five-number summary and sample variance, build the box-plot, and then identify the outlier. (iii) Produce the scatter plot of the (li, yi)'s by using plot(x, y), evaluate their correlation coefficient, and then qualitatively describe the linear association between x;'s and yi's. (iv) A paired observation is usually considered to be an outlier if one of its two coordinators is an outlier. Is there an outlier of (Li, Yi)'s? If yes, remove it and compute the correlation coefficient again. (v) What difference do you observe between the numerical results in (iii) and (iv)? (vi) Produce the normal QQ plots for observations xi's and yi's, respectively, and then deter- mine which one is more likely to be of normal distribution?
Problem 1. Complete the following problems for the sample of two variables (X,Y). (0.2, 1.1), (1.2, 2.3), (0.9, 1.1), (2.2, 3.6), (3.2, 0.1), (0.3, 1.0), (1.7,6.9) (3.1, 4.8), (2.3, 6.5), (1.5, 7.8), (2.5, 5.8), (3.0, 8.0), (2.6, 9.4), (9.0, 9.8). (i) Read Zi's into x by using r=c(0.2,1.2,0.9,2.2, 3.2,0.3,1.7,3.1,2.3,1.5,2.5,3.0,2.6,9.0), plot the histogram of ri's by using hist(2), and then check the distribution shape. Plot the histogram of Yi's in a similar manner. (ii) For I;'s and yi's, respectively, compute the five-number summary and sample variance, build the box-plot, and then identify the outlier. (iii) Produce the scatter plot of the (li, yi)'s by using plot(x, y), evaluate their correlation coefficient, and then qualitatively describe the linear association between x;'s and yi's. (iv) A paired observation is usually considered to be an outlier if one of its two coordinators is an outlier. Is there an outlier of (Li, Yi)'s? If yes, remove it and compute the correlation coefficient again. (v) What difference do you observe between the numerical results in (iii) and (iv)? (vi) Produce the normal QQ plots for observations xi's and yi's, respectively, and then deter- mine which one is more likely to be of normal distribution?