A scatterplot and a summary table for the ANCOVA on the data relating to it are given below. What does the interaction term suggest? A) The effect is significant (p .05) and the assumption of homogeneity of regression slopes has been maintained.

Question

A scatterplot and a summary table for the ANCOVA on the data relating to it are given below. What does the interaction term suggest? A) The effect is significant (p < .05) and the assumption of homogeneity of regression slopes has been violated. B) The effect is significant (p < .05) and the assumption of homogeneity of regression slopes has been maintained. C) The effect is not significant (p > .05) and the assumption of homogeneity of regression slopes has been violated. D) The effect is not significant (p > .05) and the assumption of homogeneity of regression slopes has been maintained.

Quizplus · Accepted Answer

The interaction term suggests that the relationship between the two variables (y and x) differs for different levels of the third variable (z). The effect is significant (p < .05), which means that the interaction term is important for explaining the variation in y. However, the assumption of homogeneity of regression slopes has been violated, which means that the relationship between y and x is not the same for all levels of z. This violates one of the assumptions of ANCOVA and could affect the validity of the results.

A Scatterplot and a Summary Table for the ANCOVA on the Data