In the context of mathematical modeling, when we use one variable to predict the values of another, the variable used as the basis for the prediction is known as the:

If a specific data point $(x_i, y_i)$ in a bivariate set satisfies $x_i < \bar{x}$ and , in which quadrant relative to the mean point does it lie, and what is the sign of its contribution to the covariance?

A researcher is studying the relationship between the concentration of a certain fertilizer ($x$) and the height of sunflower plants ($y$). If the goal is to predict how tall a sunflower will grow based on a specific amount of fertilizer used, which variable is the independent variable?

True or False: If two variables $x$ and $y$ have a negative covariance, the line of best fit representing their relationship will have a negative gradient.

A scatter diagram comparing hours spent playing video games and test scores shows that the data points are very tightly clustered and trend downwards from left to right. This relationship is described as a __________.