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analyze the residuals to informally assess the t of a function. In this activity, students also t a function to data, and use the function to solve problems.
Instructional Routines
• Fit it
Plot It indicates activities where students have an opportunity to use a table of points to produce a graph to see patterns and make predictions. Also when appropriate, nd a function that best ts the data.
Launch
Display the data from the video weighing oranges:
number of oranges
weight in kilograms
3
1.798
4
2.25
5
2.672
6
2.859
7
3.029
8
3.241
9
3.302
10
3.361
Student Task Statement
1. For the scatter plot of orange weights from a previous lesson, use technology to nd the line of best t.
2. What does the linear model estimate for the weight of the basket when there are 3 oranges in it?
3. Compare the weights of the basket with 3 oranges in it to the estimated weight of the basket with 3 oranges in it. Explain or show your reasoning.
4. How many oranges are in the basket when the linear model estimates the weight best? Explain or show your reasoning.
Unit 3
Lesson 6: Residuals 91