Exercise 1 (4 points) Adverse Drug Reaction - A clinical study is conducted to i
ID: 3179416 • Letter: E
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Exercise 1 (4 points) Adverse Drug Reaction - A clinical study is conducted to investigate the effectiveness of the drug Dozenol for treating insomnia. It was found that there is a correlation between the amount of Dozenol taken and the length of sleep. Based on this statistical analysis, can we conclude that Dozenol is the cause of sleep? Why of why not? Exercise 2 (6 points) Chest Sizes and Weights of Bears - When 54 bears were anesthetized, researchers measured the distances (in inches) around the bears' chests and weighed the bears (in pounds). Excel was used to find that the value of the linear correlation coefficient is r = 0.963. a. Is there a linear correlation between chest size and weight? Explain. b. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size? Exercise 1 (4 points) Adverse Drug Reaction - A clinical study is conducted to investigate the effectiveness of the drug Dozenol for treating insomnia. It was found that there is a correlation between the amount of Dozenol taken and the length of sleep. Based on this statistical analysis, can we conclude that Dozenol is the cause of sleep? Why of why not? Exercise 2 (6 points) Chest Sizes and Weights of Bears - When 54 bears were anesthetized, researchers measured the distances (in inches) around the bears' chests and weighed the bears (in pounds). Excel was used to find that the value of the linear correlation coefficient is r = 0.963. a. Is there a linear correlation between chest size and weight? Explain. b. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size?Explanation / Answer
1. No, this interpretation is wrong because correlation doesn't indicate causation. Even if there is a correlation between amount of Dozenol taken and length of sleep, we can't conclude that Dozenol causes the sleep. Correlation only indicates the degree of linear association between two variable. It doesn't indicate any cause and effect relationship.
2. Given r = 0.963
a) Yes, the r value is very close to 1 which indicates that there is very high degree of positive linear association between chest size and weight. s the chest size increases, the weight also increase and vice versa.
b) Proportion of variation in weight that can be explained by the linear relationship between weight and chest size
= (Coefficient of determination)
= r2
= 0.9632
= 0.9274
Hence,
92.74% of the variation in weight can be explained by the linear relationship between chest size and weight.
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