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Course: Statistics and probability?>?Unit 5
Lesson 4: Least-squares regression equations- Introduction to residuals and least squares regression
- Introduction to residuals
- Calculating residual example
- Calculating and interpreting residuals
- Calculating the equation of a regression line
- Calculating the equation of the least-squares line
- Interpreting slope of regression line
- Interpreting y-intercept in regression model
- Interpreting a trend line
- Interpreting slope and y-intercept for linear models
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Calculating and interpreting residuals
Problem
Zhang Lei creates and sells wreaths. On her website, she gives the diameter, in inches, and weight, in pounds, of each wreath. An approximate least-squares regression line was used to predict the weight from a given diameter.
Interpret the residual for the wreath indicated in the scatterplot above.