Math Problem Statement

Plot a regression line on the scatter diagram

Plot a regression line on the scatter diagram

Solution

Here is the scatter plot of the data with the regression line (in red) added. This line represents the best linear fit to the relationship between the number of absences and final grade for the seven students.

Would you like to see the equation of the regression line or any additional analysis?

Here are some further questions to consider:

  1. What is the equation of the regression line?
  2. How would the slope of the line affect the final grade as absences increase?
  3. What is the correlation coefficient between absences and grades?
  4. Can this regression model be used to predict grades for students with different numbers of absences?
  5. How accurate is this linear model in explaining the data?

Tip: When interpreting regression lines, focus on the slope as it shows the direction and strength of the relationship between the variables.

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Math Problem Analysis

Mathematical Concepts

Statistics
Linear Regression
Scatter Plot

Formulas

y = mx + b (equation of a line)
Correlation coefficient formula

Theorems

Least Squares Method for finding the line of best fit

Suitable Grade Level

Grades 10-12