A cell phone company collected data of texting speed in words per minute according to time in minutes. Explain why a scatterplot is used to represent the data, including the purpose of scatterplots.

A scatterplot is a type of data visualization that displays individual data points based on two variables, allowing for the observation of relationships or patterns between them. In the case of the texting speed data collected by the cell phone company, the two variables are likely texting speed (measured in words per minute) and time (measured in minutes).

Reasons for Using a Scatterplot:

1. Visualization of Relationships: A scatterplot enables the company to visually assess the relationship between time spent texting and the speed of texting. It allows observers to see if there is a trend that suggests a correlation—such as whether texting speed increases or decreases with time.

2. Identification of Patterns: By plotting each observation as a point on the graph, the scatterplot can reveal patterns that may be present in the data. For instance, if points cluster in a certain direction or form a particular shape (such as a linear, exponential, or no correlation), these patterns can help researchers understand how texting speed varies over time.

3. Detection of Outliers: Scatterplots can also help identify outliers—data points that deviate significantly from the overall pattern. For example, if most users text at a certain speed but one user texts significantly faster or slower, that point will stand out. This can prompt further investigation into why that outlier exists.

4. Facilitating Statistical Analysis: Scatterplots are often the first step in statistical analysis. They can help researchers decide on the appropriate statistical methods for exploring correlations. If a linear relationship appears visible, it may justify the use of linear regression analysis, for instance.

5. Communicating Findings: A scatterplot provides a clear and straightforward way to communicate findings to stakeholders. Visual representations are often easier to understand than raw data tables, making it easier for others to grasp complex information quickly.

In summary, a scatterplot is an effective tool for the cell phone company to represent its texting speed data over time, as it allows for the visualization of relationships, identification of patterns and outliers, facilitates further analysis, and enhances communication of results.