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sergiy2304 [10]
3 years ago
15

The correlation analysis assumes that the measurements have a bivariate normal distribution in the population. Select all of the

features that define a bivariate normal distribution.
A. Bell-shaped probability distribution in two dimensions rather than one
B. A relationship between X and Y that is not linear
C. The presence of outliers
D. Either X or Y has a decidedly skewed distribution
E. A relationship between X and Y that is linear
F. A cloud of points that is funnel shaped (wider at one end than the other)
G. The frequency distributions of X andY separately are normal
Mathematics
1 answer:
RoseWind [281]3 years ago
4 0

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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