Sunday, December 10, 2023

Let the two regression lines be given as 3x= 10+5y and 4y=5+15x. Then the correlation between x and y is....

 In the following diagram,when the income increase from 120 crores to 180 crores in an economy then what is the value of f MPC?



A. 0.81
B. O.82
C .0.83✓
D. 0.84
Ans:- MPC= ∆C/∆I
∆C= 170-120=50
∆I=180-120=60
50/60=0.83
Ans:C


2. C= 20+3/4Y and Y=80, What is the value of APC?

A. 3
B 0.75
C. 0.1
D.1✓
Solution: C= 20+3/4Y
                       20+(3/4)80
                       20+3×20
                       20+60
                     =    80
APC= C/Y
        =80/80
        =1
Ans:D

2. Let the two regression lines be given as  3x= 10+5y and 4y=5+15x. Then the correlation between x and y is....
A.-0.40
B. 0.40✓
C. 0.89
D. 1.50

Solution: Equation y on x 
                  3x= 10+5y
                  bxy=3/5
& Equation x on y
                  4y= 5+15x
                 byx= 4/15
Correlation ( r)= √bxy×byx
                        r= √3/5×4/15
                        r= √1/5×4/5
                        r= √4/25
                        r=   2/5
                        r= 0.40
Ans: B

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