Math Problem Statement

The data points on the scatter plot below show the amount of time spent watching television and the amount of time spent doing homework last week by each of 25 high school students. Draw the line of best fit for these data points. (It doesn't have to be the exact line of best fit. Just draw your best approximation.)

Solution

It looks like you uploaded a scatter plot where the time spent watching television is plotted against the time spent doing homework by high school students. The task is to draw a line of best fit.

Since I can't physically draw on the plot, I can describe the steps to draw the line of best fit:

  1. Identify the trend: From the plot, it appears there is a negative correlation, meaning as the time spent watching television increases, the time spent doing homework decreases.

  2. Approximate the line: Draw a line that best represents the general trend of the data points. The line should pass through or be as close as possible to the majority of the points, minimizing the vertical distance from the points to the line.

  3. Slope and intercept: The line should have a negative slope (since the points generally trend downward). Try to estimate where it crosses the axes to find the intercepts.

Would you like to proceed with calculating the exact line of best fit, or do you have any other specific questions about the plot?

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Math Problem Analysis

Mathematical Concepts

Statistics
Linear Relationships
Data Analysis

Formulas

Equation of a line: y = mx + b

Theorems

Least Squares Regression
Line of Best Fit

Suitable Grade Level

Grades 8-10