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The coefficient of correlation between ages of husband and wife at the time of marriage for a given set of 100 couples was noted to be 0.7. Assume that all these couples survive to celebrate the silver jubilee of their marriage. The coefficient of correlation at that point of time will be
- a)1
- b)0.9
- c)0.7
- d)0.3
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The coefficient of correlation between ages of husband and wife at the...
Given Information:
- The coefficient of correlation between ages of husband and wife at the time of marriage for a given set of 100 couples is 0.7.
- All these couples survive to celebrate the silver jubilee of their marriage.
Explanation:
The coefficient of correlation measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.
In this case, the coefficient of correlation between the ages of husband and wife at the time of marriage is 0.7. This means there is a strong positive correlation between the ages of husbands and wives at the time of marriage.
As these couples survive to celebrate their silver jubilee, which is the 25th anniversary of their marriage, it can be assumed that their ages have increased over time. Let's consider the possible scenarios:
1. If the age of the husband increases at the same rate as the age of the wife, the correlation between their ages will remain the same. This means the coefficient of correlation will still be 0.7.
2. If the age of the husband increases faster than the age of the wife, the positive correlation between their ages will strengthen. This means the coefficient of correlation will be closer to +1.
3. If the age of the husband increases slower than the age of the wife, the positive correlation between their ages will weaken. This means the coefficient of correlation will be closer to 0.
In all these scenarios, it is likely that the coefficient of correlation will still be positive because the couples have survived together for 25 years. However, it is not possible to determine the exact value of the coefficient of correlation without additional information about the change in their ages.
Conclusion:
Based on the given information, we can conclude that the coefficient of correlation at the time of the silver jubilee will still be positive but cannot be determined precisely. Therefore, the correct answer is option C) 0.7.
- The coefficient of correlation between ages of husband and wife at the time of marriage for a given set of 100 couples is 0.7.
- All these couples survive to celebrate the silver jubilee of their marriage.
Explanation:
The coefficient of correlation measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.
In this case, the coefficient of correlation between the ages of husband and wife at the time of marriage is 0.7. This means there is a strong positive correlation between the ages of husbands and wives at the time of marriage.
As these couples survive to celebrate their silver jubilee, which is the 25th anniversary of their marriage, it can be assumed that their ages have increased over time. Let's consider the possible scenarios:
1. If the age of the husband increases at the same rate as the age of the wife, the correlation between their ages will remain the same. This means the coefficient of correlation will still be 0.7.
2. If the age of the husband increases faster than the age of the wife, the positive correlation between their ages will strengthen. This means the coefficient of correlation will be closer to +1.
3. If the age of the husband increases slower than the age of the wife, the positive correlation between their ages will weaken. This means the coefficient of correlation will be closer to 0.
In all these scenarios, it is likely that the coefficient of correlation will still be positive because the couples have survived together for 25 years. However, it is not possible to determine the exact value of the coefficient of correlation without additional information about the change in their ages.
Conclusion:
Based on the given information, we can conclude that the coefficient of correlation at the time of the silver jubilee will still be positive but cannot be determined precisely. Therefore, the correct answer is option C) 0.7.
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The coefficient of correlation between ages of husband and wife at the...
Concept:
The correlation coefficient is statistical measure of the strength of the relationship between the relative moments of two variables.
The values range between -1.0 and 1.0.
It is determined by dividing the covariance by the product of the two variables standard deviation. Thus,
Coefficient of correlation Does not depends on scale and origin.
The correlation coefficient is statistical measure of the strength of the relationship between the relative moments of two variables.
The values range between -1.0 and 1.0.
It is determined by dividing the covariance by the product of the two variables standard deviation. Thus,
Coefficient of correlation Does not depends on scale and origin.
Calculation:
In the given question, we are given that Coefficient of correlation between the ages of husband and wife at the time of marriage for a set of 100 couples was 0.7
and According to the question, If couples survive to celebrate their silver jubilee, then
Since, Coefficient of correlation doesn't changes on scale and time
Thus, the Coefficient of correlation at that point will be same as it was earlier
⇒ The Coefficient of correlation = 0.7
In the given question, we are given that Coefficient of correlation between the ages of husband and wife at the time of marriage for a set of 100 couples was 0.7
and According to the question, If couples survive to celebrate their silver jubilee, then
Since, Coefficient of correlation doesn't changes on scale and time
Thus, the Coefficient of correlation at that point will be same as it was earlier
⇒ The Coefficient of correlation = 0.7
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The coefficient of correlation between ages of husband and wife at the time of marriage for a given set of 100 couples was noted to be 0.7. Assume that all these couples survive to celebrate the silver jubilee of their marriage. The coefficient of correlation at that point of time will bea)1b)0.9c)0.7d)0.3Correct answer is option 'C'. Can you explain this answer?
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The coefficient of correlation between ages of husband and wife at the time of marriage for a given set of 100 couples was noted to be 0.7. Assume that all these couples survive to celebrate the silver jubilee of their marriage. The coefficient of correlation at that point of time will bea)1b)0.9c)0.7d)0.3Correct answer is option 'C'. Can you explain this answer? for Commerce 2025 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about The coefficient of correlation between ages of husband and wife at the time of marriage for a given set of 100 couples was noted to be 0.7. Assume that all these couples survive to celebrate the silver jubilee of their marriage. The coefficient of correlation at that point of time will bea)1b)0.9c)0.7d)0.3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Commerce 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The coefficient of correlation between ages of husband and wife at the time of marriage for a given set of 100 couples was noted to be 0.7. Assume that all these couples survive to celebrate the silver jubilee of their marriage. The coefficient of correlation at that point of time will bea)1b)0.9c)0.7d)0.3Correct answer is option 'C'. Can you explain this answer?.
The coefficient of correlation between ages of husband and wife at the time of marriage for a given set of 100 couples was noted to be 0.7. Assume that all these couples survive to celebrate the silver jubilee of their marriage. The coefficient of correlation at that point of time will bea)1b)0.9c)0.7d)0.3Correct answer is option 'C'. Can you explain this answer? for Commerce 2025 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about The coefficient of correlation between ages of husband and wife at the time of marriage for a given set of 100 couples was noted to be 0.7. Assume that all these couples survive to celebrate the silver jubilee of their marriage. The coefficient of correlation at that point of time will bea)1b)0.9c)0.7d)0.3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Commerce 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The coefficient of correlation between ages of husband and wife at the time of marriage for a given set of 100 couples was noted to be 0.7. Assume that all these couples survive to celebrate the silver jubilee of their marriage. The coefficient of correlation at that point of time will bea)1b)0.9c)0.7d)0.3Correct answer is option 'C'. Can you explain this answer?.
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