Question

fill in the blank.
using a linear model to predict a value of y for an x - value far from the ones used to find the model is called __________.
using a linear model to predict a value of y for an x - value far from the ones used to find the model is called
options: extrapolation, finding an influential point, leverage

Explanation:

To solve this, we analyze each option:

• "Extrapolation" is the process of predicting values outside the range of the original data (x - values far from those used to build the model) using a model (like a linear model here).
• "Finding an influential point" refers to identifying a data point that has a large impact on the model, not prediction outside data range.
• "Leverage" in statistics relates to how far an x - value is from the mean of x - values, but not the prediction of y for far - off x - values. So the correct term is extrapolation.

Answer:

extrapolation