Explain why it can be dangerous to use the leastsquares line to obtain predictions for $x$ values that are substantially larger or smaller than those contained in the sample.
Added by Emily M.
Step 1
The least squares line is a linear model that is fitted to the given data points in the sample. It is obtained by minimizing the sum of the squared differences between the observed values and the predicted values. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Adi S and 71 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
When we use a least-squares line to predict $y$ values for $x$ values beyond the range of $x$ values found in the data, are we extrapolating or interpolating? Are there any concerns about such predictions?
Elementary Probability Theory
Some Probability Rules-Compound Events
Correlation and Regression
Linear Regression and the Coefficient of Determination
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD