Stat 147 Quiz 1

• TRUE

• FALSE

Which of the following is an indication that a matrix is not positive definite?

• The matrix is symmetric.

• The matrix is of full rank.

• If the determinant of the matrix is negative.

• The trace of the matrix is positive.

• TRUE

• FALSE

TRUE or FALSE: The square root matrix is symmetric.

• TRUE

• FALSE

• 4

• 9

• 8

• 18

TRUE or FALSE: If a square matrix is of full rank, then one of its eigenvalues is equal to 0.

• TRUE

• FALSE

TRUE or FALSE: The square root matrix is idempotent.

• TRUE

• FALSE

In regression, which of the following will result for the OLS estimator of the model parameters to not exist?

• The error terms are not normally distributed.

• The error terms are autocorrelated with one another.

TRUE or FALSE: The sample variance is always an unbiased estimator of the population variance.

• TRUE

• FALSE

It is ideal for the power function to be close to _______ under the null hypothesis and close to _______ under the alternative hypothesis.

• 0,0

• 0,1

• 1,0

• 1,1