NDA2019MathematicsStatisticsActual
For the variables x and y , the two regression lines are 6 x+y=30 and 3 x+2 y=25 . What are the values of x , y and r respectively?
Options
- A20 3 , 35 9 ,-0.5
- B20 3 , 35 9 , 0.5
- C35 9 , 20 3 ,-0.5
- D35 9 , 20 3 , 0.5
Correct answer
D. 35 9 , 20 3 , 0.5
Step-by-step solution
Given regression lines aligned & 6 x+y=30 & and 3 x+2 y=25 aligned point of intersection of both lines =( x , y )= ( 35 9 , 20 3 ) for 6 x=-y+30 x=- 1 6 y+5 and for 2 y=-3 x+25 aligned & y=- 3 2 x+ 25 2 & r^2= (- 1 6 ) (- 3 2 ) & r= 1 2 aligned sign of x , y & r is same. r= 1 2