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Questions and Answers
What does a correlation coefficient close to zero imply?
What does a correlation coefficient close to zero imply?
- A non-linear relationship may exist between the two variables (correct)
- No relationship exists between two variables
- A linear relationship exists between the two variables
- A strong positive relationship exists between the two variables
In statistics, what does Spearman’s rank correlation measure?
In statistics, what does Spearman’s rank correlation measure?
- Causal relationships
- Population parameter
- Non-linear monotonic relationships (correct)
- Linear relationships
Why is the interpretation of the correlation coefficient considered difficult?
Why is the interpretation of the correlation coefficient considered difficult?
- It is heavily dependent on sample size
- It is not sensitive to outliers
- It doesn't measure any relationship between variables
- It cannot explain causation (correct)
What is the purpose of performing a test of significance (such as R: cor.test()) on a correlation coefficient?
What is the purpose of performing a test of significance (such as R: cor.test()) on a correlation coefficient?
Which statistical method is mentioned as a better way to understand the relationship between variables than the correlation coefficient?
Which statistical method is mentioned as a better way to understand the relationship between variables than the correlation coefficient?
What does a high sensitivity to outliers mean for a correlation coefficient?
What does a high sensitivity to outliers mean for a correlation coefficient?
What does a correlation coefficient of -0.99 between water content and calorific value indicate?
What does a correlation coefficient of -0.99 between water content and calorific value indicate?
What does the small p-value (p < 0.0001) tell us?
What does the small p-value (p < 0.0001) tell us?
In the Bagasse example, what can we conclude about the relationship between water content and calorific value from the correlation coefficient?
In the Bagasse example, what can we conclude about the relationship between water content and calorific value from the correlation coefficient?
How does the p-value affect our understanding of the relationship between water content and calorific value?
How does the p-value affect our understanding of the relationship between water content and calorific value?
Based on the information provided, what can be inferred about calorific value as water content increases?
Based on the information provided, what can be inferred about calorific value as water content increases?
Why is a regression model needed to answer more complex questions about the relationship between water content and calorific value?
Why is a regression model needed to answer more complex questions about the relationship between water content and calorific value?
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