Math Problem Statement

The table below shows the age and the height for each of 8 trees. Create a scatter plot for the data.

Solution

To create a scatter plot based on the data given, let’s start by listing the data points from the table:

  • Age (in years) and Height (in meters):
    • (1, 5)
    • (3, 6)
    • (6, 8)
    • (8, 11)
    • (9, 9)
    • (10, 14)
    • (13, 10)
    • (14, 13)

Using this information, here’s how to plot the points:

  1. On the x-axis (Age in years), mark values from 0 to at least 14.
  2. On the y-axis (Height in meters), mark values from 0 to at least 14.
  3. Plot each point according to the corresponding (Age, Height) pairs from the list above.

For example:

  • Plot the point (1, 5) by moving 1 unit along the x-axis and 5 units up along the y-axis.
  • Plot the point (3, 6) by moving 3 units along the x-axis and 6 units up along the y-axis.
  • Continue plotting each point in this way.

If you follow these steps on the graph provided, you’ll have a scatter plot representing the age and height of each tree.

Would you like additional details on creating scatter plots, or do you have any questions?

Additional Questions to Explore:

  1. What conclusions can you draw from the pattern or trend in the scatter plot?
  2. How would you describe the relationship between the age and height of the trees?
  3. What kind of function might best fit the data (e.g., linear, quadratic)?
  4. How would you calculate the correlation coefficient for this data set?
  5. Can we predict the height of a tree given its age using this scatter plot?

Tip:

When plotting, label each point to keep track of the data points on the scatter plot. This can help in analyzing and drawing conclusions from the plot.

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Math Problem Analysis

Mathematical Concepts

Data Representation
Scatter Plots
Coordinate System

Formulas

Coordinate Pair (x, y) for plotting points

Theorems

None

Suitable Grade Level

Grades 6-8