IM Alg1.3.6 Practice: Residuals

Han creates a scatter plot that displays the relationship between the number of items sold, y, and the total revenue, x, in dollars.
Han creates a line of best fit and finds that the residual for the point [math]\left(12,1,000\right)[/math] is 75. The point  [math]\left(13,930\right)[/math]has a residual of -40. Interpret the meaning of -40 in the context of the problem.
The line of best fit for a data set is
[math]y=1.1x+3.4[/math].[br][br]Find the residual for the coordinate pair [math]\left(5,8.8\right)[/math].
Find the residual for the coordinate pair [math]\left(2.5,5.95\right)[/math].
Find the residual for the coordinate pair [math]\left(0,3.72\right)[/math].
Find the residual for the coordinate pair [math]\left(1.5,5.05\right)[/math].
Find the residual for the coordinate pair [math]\left(-3,0\right)[/math].
Find the residual for the coordinate pair [math]\left(-5,-4.86\right)[/math].
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?
A local car salesperson created a scatter plot to display the relationship between a car's sale price in dollars, x, and the age of the car in years, y.
[size=150]The scatter plot and the line of best fit are displayed in the graph. [br][/size][br][br][center][img]data:image/png;base64,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[/img][/center][br][br][size=150]The car salesperson looks at the residuals for the car sales. [br][/size][br]For a car that is 4 years old, does the salesperson sell above or below her average selling price? Explain your reasoning. 
For a car that is 12 years old, does the salesperson sell above or below her average selling price? Explain your reasoning.
Data about the outside temperature and gas used for heating a building are given in the table.
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[/img][br][br]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.[br]
What is the slope of the line of best fit? What does it mean in this situation?[br]
What does the line of best fit estimate for gas usage when the outside temperature is 59 degrees Fahrenheit?[br]
How does the actual gas usage compare to the estimated gas usage when the outside temperature is 59 degrees Fahrenheit?[br]
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Information: IM Alg1.3.6 Practice: Residuals