These pages are not displaying properly because the Compatibility View in your Internet Explorer is enabled. We suggest that you remove 'fu-berlin.de' from your list of sites that have Compatibility View enabled.

- In Internet Explorer, press the 'Alt' key to display the Menu bar, or press and hold the address bar and select 'Menu bar'.
- Click 'Tools' and select 'Compatibility View settings'.
- Select 'fu-berlin.de' under 'Websites you've added to Compatibility View'.
- Click 'Remove'.

# 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.