Final answer:
The student's question about identifying a labeled point in a scatterplot cannot be answered without the actual scatterplot image. A scatterplot typically shows the relationship between two variables, with points plotted at coordinates corresponding to data values.
Step-by-step explanation:
The question asks to identify which point is labeled in a scatterplot. The provided information doesn't include the actual scatterplot image, but it does reference various plots and lines. Typically, a scatterplot includes a collection of points that represent data values for two variables. To determine which of the given points (4, 7), (8, 2), (2, 8), or (7, 4) is labeled on a scatterplot, one would normally look at the plot and find the point with the corresponding x (horizontal) and y (vertical) coordinates. Without the scatterplot image, it's not possible to definitively say which point is labeled.
In the context of this explanation, we can talk generically about the usefulness of a scatter plot to visualize the dependence of y on x and the fitting of a linear model via linear regression to assess the pattern in the data and the potential for prediction.