The assumption of homoscedasticity is that . Group of answer choices1. the range of the Y scores is the same as the X scores2. the variability of the X and Y distributions is the same 3. the X and Y distributions have the same mean values 4. the variability of Y doesn't change over the X scores

The variability of the X and Y distributions is the same.

Step-by-step explanation:

Homoscedasticity - means equal variances which is when the variances are approximately the same across the samples; say independent samples taken X and Y.

When comparing two or more sample means, e.g., the 2-Sample t-test and ANOVA, a significantly different variance could cause the differences between means and lead to incorrect conclusions. When we have unequal variance between them, it is known as heteroscedasticity.

In simple terms, if we have, say, production of pen from machine 1 and machine 2. And sample is taken from the products of the 2 machines, we expect the pen should look exactly the same if the process of production and design is the same. Any variation will be regarded as defective!

Thus, variability of the X and Y distribution is the same - means homoscedasticity.

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step-by-step explanation: