NDA 2022
- Exam
- NDA
- Year
- 2022
- Subject
- Mathematics
- Chapter
- Statistics
NDA 2022 · Mathematics · Statistics
The coefficient of correlation between ages of husband and wife at...
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 . 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
Options
- A
- B
- C
- D
Correct answer
C.
Step-by-step solution
\therefore r=\frac{\sum\left(x_i-\bar{x}\right)\left(y_i-\bar{y}\right)}{\sqrt{\sum\left(x_i-\bar{x}\right)^2} \sum\left(y_i-\bar{y}\right)^2}=0.7\bar{x}\bar{y}x iy i(x i-\bar{x}),(y i-\bar{y})=0.7