25.(5%) Which of the following statements are correct?
(1) Statistical independence implies no correlation
(2) No correlation implies statistical independence
(3) Statistical independence and no correlation are equivalent
(4) In a simple linear regression problem, a large value of the least square estimate
for the slope coefficient implies a strong association between the response and
the explanatory variables
(A)(1)
(B)(2)
(C)(3)
(D)(1)(4)
(E)(1)(2)(3)(4)