NDA2022MathematicsStatisticsActual
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
Options
- A1
- B0.9
- C0.7
- D0.3
Correct answer
C. 0.7
Step-by-step solution
r= (x_i- x ) (y_i- y ) (x_i- x )^2 (y_i- y )^2 =0.7 At time of silver jubilee new x and y increase 25 also each x i and y i increase with 25 Therefore, (x i- x ),(y i- y ) not change So, coefficient of correlation remains same Hence, new coefficient of correlation =0.7