Question

From a scatterplot, we observe that the dependent variable does not change

when the independent variable increases. It suggests that the two variables are
A. weakly, negatively correlated
B strongly, positively correlated
C uncorrelated
D weakly, positively correlated

Answer 1

The scatterplot indicates no change in the dependent variable with an increase in the independent variable, suggesting that the variables are uncorrelated (r = 0).

Step-by-step explanation:

From the description of the scatterplot where the dependent variable does not change when the independent variable increases, it suggests that there is no apparent relationship between the two variables. Therefore, they are uncorrelated.

This is because in a positive correlation, both variables would move in the same direction - as one increases, so does the other. Conversely, in a negative correlation, the variables would move in opposite directions. But here, since there is no change in the dependent variable as the independent variable increases, the variables do not seem to be related at all, hence representing zero or no correlation (r = 0).

From a scatterplot, if we observe that the dependent variable does not change when the independent variable increases, it suggests that the two variables are uncorrelated (C).