Can you explain why the scatter plot shows a negative Z value when the Histogram starts at zero.

Certainly! To understand why a scatter plot can show negative z-values while a histogram starts at zero, let's first define what each of these visualizations represents:

- Scatter plot: A scatter plot displays the relationship between two variables by using Cartesian coordinates to represent each data point. Each data point is shown as a dot, and the position of the dot depends on the values of the variables being plotted on the x and y axes.

- Histogram: A histogram represents the distribution of a single variable. It groups the data into intervals (bins) along the x-axis and displays the frequency or count of data points falling within each bin on the y-axis.

Now, let's address the specific scenario you mentioned, where the scatter plot shows a negative z-value while the histogram starts at zero. In this case, it's important to keep in mind that scatter plots and histograms represent different types of data.

The y-axis in a scatter plot can represent any variable or dimension related to the data being plotted. It does not necessarily need to display the count or frequency of data points. Therefore, the y-values in a scatter plot are not constrained to start at zero or follow any particular rule, including the case of negative z-values.

On the other hand, histograms represent the frequency or count of data points in specific intervals or bins along the x-axis. Since the purpose of a histogram is to visualize the distribution of a single variable, the y-axis typically represents the count or frequency of data points falling into each bin. Hence, it often starts at zero to reflect the absence of data points within that bin.

In summary, the scatter plot and histogram serve different purposes, with the scatter plot representing the relationship between two variables and the histogram displaying the distribution of a single variable. Therefore, the rules for determining the y-values can differ between these two visualizations, allowing for the possibility of negative z-values in a scatter plot, while the histogram's y-axis typically starts at zero.