# Rope Lab

- Author:
- Jan Mays

The data shows the length of a rope (cm) with x knots tied in each rope.

1. Calculate the first differences of the output values in your table for each rope. Would you classify the differences as constant, nearly constant, or neither? Do you think a linear model is appropriate in this case? Why or why not?
2. Find a linear model for each rope using the regression function on your calculator.
3. Identify the slope of the equation you constructed and explain its meaning in the context of the rope and its knots
4. Identify the vertical intercept of the equation you constructed and interpret what the intercept tells us about this relationship.
5. Use the two models you found to determine the number of knots required to get the ropes to be the same length.