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There are various tests for heteroscedasticity. For bi-variate data the easiest is simply plotting the data as a scatter graph. If the vertical spread of the data points is broadly the same along its range then the data are homoscedastic and if not then there is evidence of heteroscedasticity.
Heteroscedasticity may be removed using data transformations. The appropriate transformation will depend on the data and there is no general transformation that will work in all instances.
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