To accurately identify the problems with the graph, we can evaluate the statements based on common issues found in graphs. Here are the potential problems you mentioned:
- The dependent and independent variables are on the wrong axes.
- The units are missing for at least one of the variables.
- The difference between the numbers labeled on the vertical axis is inconsistent.
- The difference between numbers on the horizontal axis is not the same as the difference between numbers on the vertical axis.
- The graph is not spaced out properly to take full advantage of the available space.
- The line should not be connected to 0 because there is no data point there.
- The difference between the numbers labeled on the horizontal axis is inconsistent.
- At least one axis is missing a labeled variable.
Here are the correct potential problems depending on the specific characteristics of the graph in question:
- If the graph's axes are labeled incorrectly or swapped, then statement 1 is valid.
- If axis labels lack units (e.g., time in hours, distance in meters), then statement 2 is a concern.
- If the intervals on the vertical axis are not consistent (like skipping numbers in an uneven manner), then statement 3 is applicable.
- If the intervals on the horizontal axis are uneven, statement 7 would be a valid issue.
- Inconsistent spacing or poor layout would apply if the graph appears cramped or poorly organized (statement 5).
- If there's a line connecting to the origin where no data exist, statement 6 is relevant.
- Finally, if one of the axes does not have a label identifying the variable being plotted, statement 8 would also be an issue.
To pinpoint the exact problems, you would need to refer to the specific graph. However, from the context, you can select all that apply based on the characteristics of the graph you are reviewing.