When x = 4, what is the residual?

To determine the residual when x = 4, we first need to understand the concept of residuals in statistics. A residual is the difference between the observed value and the predicted value from a model.

Let’s say Melissa has collected data points, and she has a regression model that predicts y values based on x. To find the residual when x = 4, we follow these steps:

1. Find the observed value (y_observed): Look at the table to find the value of y when x = 4.
2. Calculate the predicted value (y_predicted): Use the regression model to find the predicted value of y when x = 4.
3. Calculate the residual: Subtract the predicted value from the observed value using the formula: Residual = yobserved - ypredicted.

Once you have the observed and predicted values, plug them into the formula to get the residual. The result will tell you how far off the prediction was from the actual data point.