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 <strong>ALL</strong> 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: C. 0.7
Explanation
The coefficient of correlation is independent of the change of origin. Adding 25 years to the ages of both the husband and wife does not change the correlation coefficient. Therefore, it remains 0.7.
Related questions on Statistics & Probability
- Let x be the mean of squares of first n natural numbers and y be the square of mean of first n natural numbers. If $\frac{x}{y}=\fra...
- What is the probability of getting a composite number in the list of natural numbers from 1 to 50?
- Two numbers x and y are chosen at random from a set of first 10 natural numbers. What is the probability that (x+y) is divisible by 4?
- A number x is chosen at random from first n natural numbers. What is the probability that the number chosen satisfies $x+\frac{1}{x} \gt...
- Three fair dice are tossed once. What is the probability that they show different numbers that are in AP?