Question

F distributions have the following characteristics (MARK ALL THAT ARE TRUE):

	A.	They are strictly non-negative
	B.	They depend on two types of degrees of freedom
	C.	They are skewed
	D.	They have degrees of freedom equal to the difference in expected variances
	E.	They are symmetric

Dependent samples are characterized by the following (MARK ALL THAT ARE TRUE):

	A.	The variance of the paired differences is a weighted average of the independent samples
	B.	Often a tradeoff occurs between reduced degrees of freedom and reduced variability
	C.	Samples can be paired in multiple ways
	D.	Samples are collected such that pairs of observations are related
	E.	Increased degrees of freedom result due to a doubling of the sample size

The properties of a least squares regression line are (mark all that are correct):

	A.	It always passes through the point that marks the mean of x and mean of y
	B.	The sum of squared residuals is at a minimum.
	C.	The sum of squared residuals is zero.
	D.	The sum of the residual errors is at a minimum.
	E.	The sum of the residual errors is zero
	F.	It always passes through (0,0)

Answer 1

I am noting down the correct points for each part

F distributions have the following characteristics (MARK ALL THAT ARE TRUE):

a) They are strictly non-negative

b) They depend on two types of degrees of freedom

c) They are skewed

Dependent samples are characterized by the following (MARK ALL THAT ARE TRUE):

b) Often a tradeoff occurs between reduced degrees of freedom and reduced variability

d) Samples are collected such that pairs of observations are related

The properties of a least squares regression line are (mark all that are correct):

a) It always passes through the point that marks the mean of x and mean of y

b) The sum of squared residuals is at a minimum.

e) The sum of the residual errors is zero