Algebra 1 | Unit 3 | Lesson 6: Residuals | Practice Problems

Plots of the residuals for four different models of the same data set are displayed. Which of the following represents the plot of the residuals from a model that fits its data best?

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• C

• D

For a car that is 12 years old, does the salesperson sell above or below her average selling price? Explain your reasoning.

Technology required. Data about the outside temperature and gas used for heating a building are given in the table. Use a graphing calculator to create the line of best fit for the data.

What is the equation of the line of best fit for this data? Round numbers to the nearest whole number.

What is the slope of the line of best fit? What does it mean in this situation?

What does the line of best fit estimate for gas usage when the outside temperature is 59 degrees Fahrenheit?

How does the actual gas usage compare to the estimated gas usage when the outside temperature is 59 degrees Fahrenheit?