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A coefficient near +1 indicates tendency for the larger values of one variable to be associated with the larger values of the other.
- a)true
- b)false
- c)both
- d)none
Correct answer is option 'A'. Can you explain this answer?
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A coefficient near +1 indicates tendency for the larger values of one ...
Understanding Correlation Coefficients
Correlation coefficients measure the strength and direction of a linear relationship between two variables. The value of a correlation coefficient ranges from -1 to +1.
Positive Correlation
- A coefficient near +1 indicates a strong positive correlation.
- This means that as one variable increases, the other variable tends to also increase.
- For instance, if variable X represents study hours and variable Y represents exam scores, a correlation close to +1 suggests that more study hours are associated with higher exam scores.
Implications of a Coefficient Near +1
- A coefficient of +0.8 or more signifies a very high positive association.
- This indicates a predictable pattern where higher values of one variable correspond to higher values of the other.
- It is essential for decision-making in fields like finance, healthcare, and education, where understanding relationships can inform strategies and outcomes.
Conclusion
- Therefore, the statement that "a coefficient near +1 indicates a tendency for the larger values of one variable to be associated with the larger values of the other" is true.
- Recognizing this relationship is crucial for interpreting data accurately and making informed decisions based on statistical analysis.
Correlation coefficients measure the strength and direction of a linear relationship between two variables. The value of a correlation coefficient ranges from -1 to +1.
Positive Correlation
- A coefficient near +1 indicates a strong positive correlation.
- This means that as one variable increases, the other variable tends to also increase.
- For instance, if variable X represents study hours and variable Y represents exam scores, a correlation close to +1 suggests that more study hours are associated with higher exam scores.
Implications of a Coefficient Near +1
- A coefficient of +0.8 or more signifies a very high positive association.
- This indicates a predictable pattern where higher values of one variable correspond to higher values of the other.
- It is essential for decision-making in fields like finance, healthcare, and education, where understanding relationships can inform strategies and outcomes.
Conclusion
- Therefore, the statement that "a coefficient near +1 indicates a tendency for the larger values of one variable to be associated with the larger values of the other" is true.
- Recognizing this relationship is crucial for interpreting data accurately and making informed decisions based on statistical analysis.
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A coefficient near +1 indicates tendency for the larger values of one variable to be associated with the larger values of the other.a)trueb)falsec)bothd)noneCorrect answer is option 'A'. Can you explain this answer?
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