## Physics 107 - Scaling Data |

.

**Scaling**

In this experiment you will learn how to plot the data in a scatter plot, and also how to manipulate your graph so that the data appears as a straight line.

As a first step, gather in groups of 3 to go over the set of worked examples of plotting data that follows power laws. As you go through the examples, you are asked to give explanations along the way. Write your explanations directly on the worksheets.**Light Measurements Revisited**

Now that you have learned about scaling graph data, try
using this technique to display and analyze the data from you experiment
on light meter readings versus difference.

- Use both a log-log (any base is fine) plot to determine the power law that governs the data.
- Use your conclusion regarding the most likely power lawto produce a second linear plot with a rescaled horizontal axis
- Once you are satisfied with your graph, write down a function that describes the data. Does this function agree with all of most of your data to within your experimental uncertainty?
- Are there any systematic deviations?

**Marking Scheme
**

**Practice Exercies**

__3 marks__, for the a log-log graph with a title, labeled axes with
units. The data should appear to be
close to linear in the plot

3 marks for a power law scaled graph

__3 marks__, for writing down the correct functional form for
the data, including parameters with the correct units; comment
on how well it describes your data.