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Measurements of serum cholesterol (mg/100 ml) and arterial calcium deposition (mg/100 g dry weight of tissue) were made on twelve animals. The data are as follows: Calcium Cholesterol Calcium Cholesterol (X) (Y) (X) (Y) 62 292 44 271 47 309 29 233 42 231 67 289 64 290 61 298 21 236 40 260 20 237 23 239 (a) Construct a two-way scatter plot for these data. (b) Does there appear to be any evidence of a linear relationship between calcium and cholesterol levels? (c) Compute r, the Pearson correlation coefficient. (d) At the 0.05 level of significance, test the null hypothesis that the population correla- tion p is equal to 0. What do you conclude? (e) Calculate r,, the Spearman rank correlation coefficient. (f) How does the value of rs compare to that of r? (g) Using r,, again test the null hypothesis that the population correlation is equal to 0. What do you conclude?

Measurements of serum cholesterol (mg/100 ml) and arterial calcium deposition (mg/100 g dry weight of tissue) were made on twelve animals. The data are as follows: Calcium Cholesterol Calcium Cholesterol (X) (Y) (X) (Y) 62 292 44 271 47 309 29 233 42 231 67 289 64 290 61 298 21 236 40 260 20 237 23 239 (a) Construct a two-way scatter plot for these data. (b) Does there appear to be any evidence of a linear relationship between calcium and cholesterol levels? (c) Compute r, the Pearson correlation coefficient. (d) At the 0.05 level of significance, test the null hypothesis that the population correla- tion p is equal to 0. What do you conclude? (e) Calculate r,, the Spearman rank correlation coefficient. (f) How does the value of rs compare to that of r? (g) Using r,, again test the null hypothesis that the population correlation is equal to 0. What do you conclude?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Measurements of serum cholesterol (mg/100 ml) and arterial calcium deposition (mg/100 g dry weight of tissue) were made on twelve animals. The data are as follows: Calcium Cholesterol Calcium Cholesterol (X) (Y) (X) (Y) 62 292 44 271 47 309 29 233 42 231 67 289 64 290 61 298 21 236 40 260 20 237 23 239 (a) Construct a two-way scatter plot for these data. (b) Does there appear to be any evidence of a linear relationship between calcium and cholesterol levels? (c) Compute r, the Pearson correlation coefficient. (d) At the 0.05 level of significance, test the null hypothesis that the population correla- tion p is equal to 0. What do you conclude? (e) Calculate r, the Spearman rank correlation coefficient. (f) How does the value of rs compare to that of r? (g) Using r;, again test the null hypothesis that the population correlation is equal to 0. What do you conclude?
Transcribed Image Text:Measurements of serum cholesterol (mg/100 ml) and arterial calcium deposition (mg/100 g dry weight of tissue) were made on twelve animals. The data are as follows: Calcium Cholesterol Calcium Cholesterol (X) (Y) (X) (Y) 62 292 44 271 47 309 29 233 42 231 67 289 64 290 61 298 21 236 40 260 20 237 23 239 (a) Construct a two-way scatter plot for these data. (b) Does there appear to be any evidence of a linear relationship between calcium and cholesterol levels? (c) Compute r, the Pearson correlation coefficient. (d) At the 0.05 level of significance, test the null hypothesis that the population correla- tion p is equal to 0. What do you conclude? (e) Calculate r, the Spearman rank correlation coefficient. (f) How does the value of rs compare to that of r? (g) Using r;, again test the null hypothesis that the population correlation is equal to 0. What do you conclude?
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