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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:
     
  • https://docs.google.com/document/d/1Ay-SZ_u82IInizxDJ-oYIgpXdQ_qb29v9G7OX28WCHc/edit?usp=sharing


Notes: 

Click on the image below for the PDF of the notes 4.6 Regression and Median-Fit Lines
  • https://drive.google.com/file/d/0B7PRmllaLVfFREhDaDFXY0ZQMXc/view?usp=sharing




Video:

Click below for the Classroom Lesson -  4.6 Regression and Median-Fit Lines


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Activities:

Click on the image below for Regression and Median-Fit Lines
  • https://www.ixl.com/math/algebra-1/slopes-of-parallel-and-perpendicular-lines
Click on the image below for Regression and Median-Fit Lines
  • https://www.ixl.com/math/algebra-1/write-an-equation-for-a-parallel-or-perpendicular-line
Extra Help:
Click on the image below for help 
http://www.wolframalpha.com/

Assessment/Homework:
pg. 256 5-11 odd
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