Warm Up Create a Scatter Plot and Line of Best Fit for the following data.

Residuals and Data Interpretation (Pg. 78) EQ: How do we calculate and interpret data residuals? Assessment: Students will write a summary to explain how to find data residuals.

Key Terms: Residual- distance between a data ______ and the _______ line. Causation- when a ________ in one __________ causes a change in the other ________ .

EQ: How do we calculate and interpret data residuals? Assessment: Students will write a summary to explain how to find data residuals.

Ex1) For each trend line: Part 1) Find each residual value Part 2) Calculate the sum of the residuals.

Ex1) For each trend line: Part 1) Find each residual value Part 2) Calculate the sum of the residuals.

Ex2) Compare the sums of the residuals from Example 1 to determine which line is a better fit for the data and explain your choice.

EQ: How do we calculate and interpret data residuals? Assessment: Students will write a summary to explain how to find data residuals.

Write the equation for the trend line Write the equation for the trend line. Then interpret the meaning of the slope and y-intercept in the context of the problem.

Write the equation for the trend line Write the equation for the trend line. Then interpret the meaning of the slope and y-intercept in the context of the problem.

Ex4) Decide whether the situation models correlation and/or causation and write yes or no on the blank according to your decision. 1. Height of a plant increases as amount of sunlight it receives increases. Correlation:_____ Causation: _____   2. A survey of a class shows the students who get lower grades spend more time sleeping each week. Correlation: _____ Causation: _____

EQ: How do we calculate and interpret data residuals? Assessment: Students will write a summary to explain how to find data residuals.