The assumption that the population distributions of X and Y are such that their joint
distribution (that is,their scatterplot)represents a bivariate normal distribution implies
that the distribution of Y scores at any value of X is normal in the population.

Question

Quizplus · Accepted Answer

If the joint distribution of X and Y is bivariate normal, it means that the marginal distribution of Y at any fixed value of X is also normal. This property is a defining characteristic of bivariate normality.

The Assumption That the Population Distributions of X and Y