We Wish to Test Whether the Correlation Between Two Variables

Multiple Choice

We wish to test whether the correlation between two variables is significantly different from 0 (i.e., no relationship between X and Y in the population) . When we look at the scatterplot of our data, we find that values of Y are tightly clustered together at low values of X, but much more spread out at high values of X. What assumption have we violated?

A) the assumption of a linear relationship
B) the assumption of homoscedasticity
C) the assumption of interval-ratio measurement
D) the coefficient of determination assumption