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### 4.6 Regression and Median-Fit Lines

Standard(s):

• S.ID.C.7: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.
• S.ID.C.8: Compute (using technology) and interpret the correlation coefficient of a linear fit.
• S.ID.B.6.C: Fit a linear function for a scatter plot that suggests a linear association.
• S.ID.B.6.6.A: Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models.

Essential Question:

• In what ways can functions be built?
• When does a function best model a situation?
• How can I communicate the properties of a data set to illuminate its important features?
• How can the relationship between quantities best be represented?

Learning Target:

• I can interpret the meaning of the slope in terms of the data. (Comprehend)
• I can interpret the the meaning of the intercept in terms of the data. (Comprehend)
• I can compute, using technology, the correlation coefficient r. (Application)
• I can interpret the correlation coefficient r. (Comprehend)
• I can sketch a line of fit on a scatterplot that appears linear. (Comprehend)
• I can write the equation of a line of best fit using technology. (Synthesize)
• I can write the equation of a line of fit by using two points on the line of fit. (Synthesize)
Warm-Up:

Notes:

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Video:

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Activities:

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• Assessment/Homework:
pg. 256 5-11 odd