1. The problem is to understand what a scatterplot is. 2. A scatterplot is a type of graph used in statistics and data analysis to display values for typically two variables for a set of data. 3. Each point on the scatterplot represents an observation from the data set, with its position determined by the values of the two variables. 4. Scatterplots help us see if there is a relationship or correlation between the variables, such as positive, negative, or no correlation. 5. They are useful for identifying trends, clusters, and outliers in data. 6. The formula or rule is not a mathematical equation but the concept: plot points $(x_i, y_i)$ where $x_i$ and $y_i$ are values of the two variables for observation $i$. 7. Important rules: each point corresponds to one data pair; axes must be labeled; scale should be consistent. 8. In summary, a scatterplot visually shows how two variables relate by plotting their paired values as points on a coordinate plane.