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