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Finding Residuals and Creating Residual Plots - Excel definitions

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  • Residual

    Difference between observed and predicted values, indicating how well a regression model fits each data point.
  • Residual Plot

    Graph displaying residuals against the independent variable, used to assess the appropriateness of a linear model.
  • Scatter Plot

    Visual chart showing the relationship between two variables, often used to identify patterns or trends.
  • Regression Line

    Straight line summarizing the relationship between variables, used to predict values based on the equation.
  • Trend Line

    Line added to a chart to illustrate the general direction of data, often representing the regression equation.
  • Predicted Value

    Estimated outcome calculated from the regression equation for a given independent variable.
  • Actual Value

    Observed measurement from the dataset, used to compare against predicted values for residual calculation.
  • Independent Variable

    Input or predictor in a dataset, plotted on the x-axis, used to estimate outcomes in regression analysis.
  • Dependent Variable

    Outcome or response in a dataset, plotted on the y-axis, influenced by changes in the independent variable.
  • Regression Equation

    Mathematical formula expressing the relationship between variables, used to compute predicted values.
  • Y Hat

    Symbol representing the predicted value from a regression equation for a specific input.
  • Random Scatter

    Pattern in a residual plot where points are distributed without structure, indicating a good model fit.
  • Model Fit

    Degree to which a regression model accurately represents the data, often evaluated using residual plots.
  • Excel Chart

    Visual representation of data created in Excel, such as scatter plots or residual plots, aiding analysis.
  • Copy and Paste

    Excel technique for replicating formulas across cells, streamlining calculations for predicted values and residuals.