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What is a nominal scale?
A nominal scale is the most basic form of measurement. Notice that the word nominal comes from the same root as the word name. So to use a nominal scale is essentially to name. For instance, I can 'measure' the religion of each person in a sample by assigning a broad religious category from the set {Muslim, Christian, Jewish, Hindu, Animalist, ...} to each person. This would be the use of a nominal scale. For more, you might visit the wikipedia page about level of measurement.
What graph would you use to determine a persons height?
You would not use a graph to determine one person's height at a single point in time. You could use a line graph to track the height of a person over time. You could use a histogram to determine the heights of lots of people at one time.
Is the Likert scale an interval measurement?
Technically is an ordinal level measurement - because the options imply a hierarchy (i.e low to high levels of your variable of interest), but we cannot say that the difference between each level is precisely the same as you would be able to with an interval measurement. There is some controversy over this though, and it is still often used like an interval measurement in statistical tests, although this might not really be appropriate.
What type of correlation on a graph would there be for the color of a persons hair and their weight?
There would be no definite correlation. It would just be a random correlation that would be all over the graph because there is no trend in hair color and weight. Your weight doesn't determine your hair color.
What level of measurement is marital status?
It would be a nominal level of measurement. Each choice would be unique but there is no value attached to them
