A study compared the number of years of education a person received and that person's average yearly salary. It was determined that the relationship between these two quantities was linear and the correlation coefficient was 0.91. Which conclusion can be made based on the findings of this study?*There was a weak relationship.There was a strong relationship.There was no relationship.There was an unpredictable relationship.None of the above
Question
A study compared the number of years of education a person received and that person's average yearly salary. It was determined that the relationship between these two quantities was linear and the correlation coefficient was 0.91. Which conclusion can be made based on the findings of this study?*There was a weak relationship.There was a strong relationship.There was no relationship.There was an unpredictable relationship.None of the above
Solution
There was a strong relationship.
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Suppose that the correlation r between two quantitative variables was found to be r = 0. Which of the following is the best interpretation of this correlation value? There is a strong linear relationship between the two variables. There is no linear relationship between the two variables. There is a strong relationship between the two variables. There is no relationship between the two variables.
(a)A financial magazine conducted a survey. It showed that a person with more years of education tends to have a higher salary. What is likely true?There is no correlation between years of education and salary.There is a correlation between years of education and salary. There may or may not be causation. Further studies would have to be done to determine this.There is a correlation between years of education and salary. There is probably also causation. This is because there is an increase in salary with an increase in the years of education.(b)A grocery store collected sales data. It found that a change in price does not imply that people will buy more or less milk. What can we determine from this information?There is no correlation between price and amount of milk bought.There is a correlation between price and amount of milk bought. However, there is no causation. This is because there is likely a decrease in the amount of milk bought with an increase in the price.There is a correlation between price and amount of milk bought. There may or may not be causation. Further studies would have to be done to determine this.(c)Ms. Roberts studied her students' Spanish test scores and TV habits. She found that students who watched less TV tended to earn higher scores on the test. What conclusion should she make?There is no correlation between test score and amount of TV watched.There is a correlation between test score and amount of TV watched. There is probably also causation. This is because there is an increase in a student's test score with a decrease in the amount of TV watched.There is a correlation between test score and amount of TV watched. There may or may not be causation. Further studies would have to be done to determine this.
A bivariate relationship has a correlation coefficient ( � ) (r) of 0.78. 0.78. Identify the coefficient of determination of this relationship:
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