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The table shows a set of data points where the mass \( m \) (in grams) corresponds to a particular displacement \( s \) (in meters). The data points are as follows:

| \( m \) (g) | \( s \) (m)  |
|:-----------:|:------------:|
| 0           | 0.302        |
| 100         | 0.357        |
| 200         | 0.399        |
| 300         | 0.437        |
| 400         | 0.459        |

This data suggests a relationship between mass and displacement. One typical way to analyze this relationship is to plot these points on a graph to see if they form a linear or nonlinear pattern. From there, we can fit a mathematical model (such as a linear regression) to describe the relationship.

Would you like me to:

1. Plot these points and provide a graphical representation?
2. Find a best-fit line (linear regression) for this data?
3. Calculate the slope and intercept of the best-fit line?
4. Predict the displacement for a mass not listed in the table?
5. Perform any other specific analysis on this dataset?

Here’s a tip: When working with data, always check for linearity first. If the data points roughly form a straight line, then a linear model might be appropriate.

Explore the relationship between mass (m) and displacement (s) using linear regression. This problem includes analyzing data points (mass in grams and displacement in meters), calculating the best-fit line, and interpreting the results. Suitable for students in Grades 9-12.

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