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Lesson 228 of 1524

3.3 Residuals

A residual is the difference between the actual y -value for a point and the expected y -value for the point on the linear model with the same associated x -value

Practice this chapter

A residual is the difference between the actual y -value for a point and the expected y -value for the point on the linear model with the same associated x -value A plot of the residuals for data that are fit well by a linear model shows residuals that are close to the x -axis and do not show a noticeable pattern

Mentally calculate how close the estimate is to the actual value using the difference

residual — the difference between the actual y -value for a point and the expected y -value for the point on the linear model with the same associated x -value.

Be able to plot and calculate residuals for a data set and use the information to judge whether a linear model is a good fit.

Worked example

What does “residual” mean in 3.3 Residuals?

  1. 1Use the wording this chapter gives for residual.
  2. 2The book says: the difference between the actual y -value for a point and the expected y -value for the point on the linear model with the same associated x -value.
  3. 3Keep the answer tied to this term.

Result: the difference between the actual y -value for a point and the expected y -value for the point on the linear model with the same associated x -value

Why. That is the meaning this chapter gives for residual.

Answer with the meaning this chapter gives. A nearby idea from the same book is a different term.

Practice margin

This chapter

A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.