The null hypothesis in the Durbin-Watson test is always that there is a. negative autocorrelation. b. no autocorrelation. c. either positive or negative autocorrelation. d. positive autocorrelation.

b. no autocorrelation.

Step-by-step explanation:

The Durbin-Watson test assumes that

H0:ρ=0

HA:ρ≠0

p=0 is a statement for the null hypothesis that assumes that the error term in one period is not correlated to the error term in the previous period.

The Durbin-Watson test is used in regression analysis to test for autocorrelation. The results from the test would always range from 0 to 4. A value of less than 2.0 indicates positive autocorrelation. A value of 2.0 indicates no autocorrelation, and a value of 2.0 to 4.0 indicates negative autocorrelation.

step-by-step explanation:

to determine whether a given function is even, we simply substitute x with -x in the expression. if the result after simplification is identical to the original equation, then the function is said to be even other wise odd.

f(-x) = (-x)^2 - (-x) + 8

      = x^2 + x +8

the resulting function is not identical to the original one;

f(-x) ≠ f(x)

therefore, f(x) is not an even function