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What's on the worksheet
- Each cell gives two of the three numbers:y = 52,\ \hat{y} = 47y = 18.4,\ \hat{y} = 21.0\hat{y} = 64,\ \text{residual} = -7y = 9.5,\ \text{residual} = 1.5y = 120,\ \text{residual} = -15
- A travel site lists the hotels in a beach town.
- An orchard keeper weighed the apples picked from five trees of different ages (made-up data).
- A bike shop fits the line y = 240 - 25x to its used bicycles, where x is the age in years and y is the selling price in dollars.
- A print shop fits the line y = 0.5x + 6 to its poster jobs, where x is the number of posters and y is the printing time in minutes.
- Priya weighed eight watermelons and fitted a line predicting the mass y in kilograms from the diameter x in centimeters.
Teach it first
The free lesson teaches it with worked examples and practice problems.
Interpreting a residual: the lesson ›More Chapter 2 worksheets: Exploring two-variable data
- 2.1Conditional relative frequencies
- 2.2Association in a two way table and segmented bar graphs
- 2.3Describing a scatter plot
- 2.4The correlation coefficient
- 2.5Interpreting a residual
- 2.6Making and reading residual plots
- 2.7Correlation from standardized values
- 2.8The least squares criterion and its line
- 2.9Slope from r and the spreads, and regression to the mean
- 2.10r squared and the standard deviation of the residuals
- 2.11Reading regression output
- 2.12Outliers, leverage and influential points
- 2.13Transforming to linearity: logs and exponential models
- 2.14Log-log transforms and power models