Math Problem Statement

The table below shows the time spent watching TV and the time spent doing homework for each of 7 students. Create a scatter plot for the data: - Time spent watching TV (in hours): [4, 5, 6, 9, 10, 12, 13] - Time spent doing homework (in hours): [12, 10, 7, 8, 5, 4, 3].

Solution

To create a scatter plot for the given data, follow these steps:

  1. Label the axes:

    • The horizontal axis (x-axis) represents the time spent watching TV (in hours).
    • The vertical axis (y-axis) represents the time spent doing homework (in hours).
  2. Plot the points: Using the table, plot the following coordinate pairs:

    • (4, 12)
    • (5, 10)
    • (6, 7)
    • (9, 8)
    • (10, 5)
    • (12, 4)
    • (13, 3)

How to Plot:

  • Start at the x-value (time spent watching TV), move upwards to the corresponding y-value (time spent doing homework).
  • For example:
    • For the first point (4, 12), locate "4" on the x-axis and "12" on the y-axis, then mark that point.

General Observations:

Once plotted, the scatter plot will likely show a negative correlation. This means that as the time spent watching TV increases, the time spent doing homework decreases.


Let me know if you need me to draw the graph or explain further details about correlations in scatter plots.


Related Questions:

  1. What is the correlation coefficient for this data?
  2. How can you interpret a negative correlation in real life?
  3. What line of best fit would describe this data, and how can it be calculated?
  4. How can you predict time spent doing homework if someone watches TV for 8 hours?
  5. How do you calculate and interpret the slope of the line of best fit?

Tip:

Always check your data points twice to ensure they are plotted accurately on the scatter plot.

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Math Problem Analysis

Mathematical Concepts

Scatter Plots
Negative Correlation
Data Representation

Formulas

Coordinate Pair Plotting: (x, y)

Theorems

Concept of Correlation: Positive, Negative, or None

Suitable Grade Level

Grades 6-8