Example 13: Stock TATA and BIRLA display the following returns over the past three years: Year Return ТАТА BIRLA 1994 14 12 1995 16 18 1996 20 15
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- If the number of pairs n = 5, coefficient of rank correlation R = - 0.5 then D will be ?A researchers says that 50% of the variance in blood pressure can be predicted from HR and that blood pressure is postively associated with HR. What is the correlation between blood pressure and HR?One professor who teaches statistics gave students one homework assignment. He asked students to find a two-variable data set and compute the Pearson correlation coefficient. One student found a data set: one variable is students' midterm test score in an introductory microeconomics class and total observations are 45 students; while the other one variable is also students' midterm test score in another introductory microeconomics class and total observations are 57 students. Both of these two classes were taught by the same instructor in spring 2018. Does this student's data set make sense? Why or why not? Discuss and explain your reasons. You must provide your statistical analysis and reasons.
- An Economics instructor assigns a class to investigate factors associated with the gross domestic product (GDP) of nations. Each student examines a different factor (such as life expectancy, literacy rate, etc.) for a few countries and reports to the class. Apparently, some of the classmates do not understand Statistics very well because several of their conclusions are incorrect. Explain the mistakes in comments a and b below. a) Explain the mistake in the statement "There was a very strong correlation of 1.22 between Life Expectancy and GDP" Choose the correct answer below O A. A correlation cannot be greater than 1. O B. A correlation that is greater than 1 implies that the variables are not quantitative, so the correlation cannot be interpreted. OC. A correlation that is close to 1 implies a very weak correlation. The correlation must be close to 10 for it to be interpreted as a very strong correlation. O D. A correlation that is greater than 1 implies a weak correlation, not a…Suppose that ten friends get together to go bowling. Also suppose that each person's score is 15 points lower for their second game than for their first game. Report the value of the correlation coefficient between game 1 score and game 2 score, with one decimal place of accuracy.Natural selection predicts that two species that came from a common ancestor should have a high degree of correlation in their genomes. What aspect (use) of correlations am I using when apply it for this purpose?
- What are the reasons why causal conclusions cannot be made from a correlation?This is an exercise. Can we use Serial Correlation (Breusch-Godfrey Test) Test as a method/technique to measure the relationship between the variables of education and income inequality in order to analyze the impact of education level on income inequality? Explain.3, 5, 5, 4, 2, 2, 1, 1, 1, 4, 5, 3, 3 calculate variance