Answer:
(1) -0.833
(2) 0.80
(3) 0.70
(4) 390
(5) 90
(7) 48
Step-by-step explanation:
Given:
E (X) = 100, E (Y) = 120, E (Z) = 130
Var (X) = 9, Var (Y) = 16, Var (Z) = 25
Cov (X, Y) = -10, Cov (X, Z) = 12, Cov (Y, Z) = 14
The formulas used for correlation is:
(1)
Compute the value of Corr (X, Y)-
(2)
Compute the value of Corr (X, Z)-
(3)
Compute the value of Corr (Y, Z)-
(4)
Compute the value of E (3X+4Y-3Z)-
(5)
Compute the value of Var (3X-3Z)-
(6)
Compute the value of Var (3X+4Y-3Z)-
But this is not possible as variance is a square of terms.
(7)
Compute the value of Cov (3X, 2Y+3Z)-