Bivariate in general terms, is the statistics of a distribution involving two independent or non-independent variables. Bivariate data often represents data with two variables and is represented by a scatter plot.
Bivariate analysis determines the empirical relationship between the two variables under consideration. It may involve a scatter plot graph, correlation coefficient between the two variables etc depending on the type of variables involved. Bivariate distribution is better known as the joint probability distribution.
correlation between two random variables can be found out and is generally between -1 and +1, where -1 represent negative correlation and +1 suggests positive correlation between the two variables.