Answer:
A. True
B. True
C. False
D. False
E. False
F. False
G. True
Step-by-step explanation:
Select all of the features that define a bivariate normal distribution.
(this means that we select only those that are properties of the bivariate normal distribution)
A. Bell-shaped probability distribution in two dimensions rather than one
TRUE because any combination of the two is still normal Z(x,y)=aX+bY
B. A relationship between X and Y that is not linear
TRUE The contours of the distribution are ellipses.
C. The presence of outliers
FALSE possible, but not always.
D. Either X or Y has a decidedly skewed distribution
FALSE normal distributions are symmetric
E. A relationship between X and Y that is linear
FALSE see answer to B
F. A cloud of points that is funnel shaped (wider at one end than the other)
FALSE normal distributions are symmetric
G. The frequency distributions of X andY separately are normal
TRUE For example, in Z(x,y)=aX+bY, putting a or b=0 means that X and Y separately are normal.
