If factor-covariate interaction is not significant, then one can proceed with interpreting the Levene's test as well as proceeding with the full ANCOVA.

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If the factor-covariate interaction is not significant, it suggests that the slopes of the regression lines for each group are similar, allowing for the assumptions of ANCOVA to be met. This means one can proceed with interpreting the Levene's test for homogeneity of variances and the full ANCOVA analysis.

If Factor-Covariate Interaction Is Not Significant, Then One Can Proceed