What is the equation of the trend line in the scatter plot?

1 answer

To determine the equation of a trend line in a scatter plot, you generally need to perform a linear regression analysis on the data points depicted in the plot. The trend line is typically expressed in the form of the linear equation:

\[ y = mx + b \]

Where:

  • \( y \) is the dependent variable (the variable you are predicting),
  • \( x \) is the independent variable (the variable you are using for prediction),
  • \( m \) is the slope of the line (indicating how much \( y \) changes for a one-unit change in \( x \)),
  • \( b \) is the y-intercept (the value of \( y \) when \( x = 0 \)).

To find the specific values of \( m \) and \( b \), you would typically use statistical software or tools, or you could calculate them using formulas based on the dataset.

If you provide the data points or context regarding the scatter plot, I can help you further calculate or estimate the trend line's equation.