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Statistics Questions
Question 1:
By referring to the image to the right, evaluate the matrix C = A*B
Matrix multiplication is performed as follows:
C = ((A(1,1) * B(1,1) + A(1,2) * B(2,1)) ((A(1,1) * B(1,2) + A(1,2) * B(2,2))
((A(2,1) * B(1,1) + A(2,2) * B(2,1)) ((A(2,1) * B(1,2) + A(2,2) * B(2,2))
C = (1 * 1 + 2 * 0) (1 * 1 + 2 * 2)
(3 * 1 + 4 * 0) (3 * 1 + 4 * 2)
C = 1 5
3 11
Question 2:
Evaluate the expectation and the variance of the distribution given by the probability mass function for the random variable x taking on the values in the set {1, 4, 10} displayed in the image to the right.
Expectation is calculated according to the equation:
= ∑(x_i * p(x = x_i))
= (x_1 * p(x = x_1)) + (x_2 * p(x = x_2)) + (x_3 * p(x = x_3))
= (1 * 0.3) + (4 * 0.2) + (10 * 0.5)
= 5.4
Variance is calculated according to the equation:
= ∑(x_i - expectation)2
= (x_1 - 5.4)2 + (x_2 - 5.4)2 + (x_3 - 5.4)2
= (1 - 5.4)2 + (4 - 5.4)2 + (10 - 5.4)2
= 42.6
Question 3:
What does GLM stand for?
The General Linear Model is the basis of the majority of statistical analysis techniques.
Question 4:
Which of the following is the equation for linear regression?
The formula for linear regression is the same as that of a straight line because in linear regression you are trying to find a linear relationship between the dependent variable y and the independent variable x.
Please click on the for feedback to each answer.