Question

choosing the right graph for two variables
identify why someone may choose to represent their two variables in separate graphs.

1. to examine one variable at a time individually.
2. to show a relationship between the two variables.
3. to prove that variables change over a period of time.
4. to show that there is no relationship between variables.

Explanation:

Step1: Analyze each option

• Option 1: When examining one variable at a time, separate graphs for each variable make sense. For example, if we have data on temperature and precipitation over a year, we might first look at how temperature changes (in one graph) and then how precipitation changes (in another graph) before looking at their relationship.
• Option 2: To show a relationship between two variables, a single graph (like a scatter - plot) that has both variables on the axes is more appropriate rather than separate graphs.
• Option 3: To prove that variables change over time, a line - graph (which can have one or more lines) showing the trend over time is better. Separate graphs for each time - series variable is not the typical way to "prove" the change (a combined time - series graph is more common).
• Option 4: To show no relationship, we can use a scatter - plot (a single graph) where the points are randomly distributed.

Answer:

To examine one variable at a time individually.