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Do Now

Use a Chromebook to explore outliers and the least-squares regression line (LSRL). Learn how outliers influence the LSRL, standard deviation of residuals, and R-squared. Engage in a collaborative activity with a partner using an interactive applet.

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Do Now

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Presentation Transcript

  1. Do Now • Get a chromebook (share with a partner or group of 3) • Go to website posted on google classroom.

  2. Complete #4cd from homework

  3. Lesson 3.2 Day 4 Outliers and the LSRL

  4. Objectives • Describe how the least-squares regression line, standard deviation of the residuals, and  are influenced by outliers. • Find the slope and y intercept of the least-squares regression line from the means and standard deviations of x and y and their correlation.

  5. Stapplet Activity • Work with a partner on one chromebook

  6. The horizontal and vertical lines in the applet are not the x-axis and y-axis.   • They are the values which represent the mean of all the x values and the mean of all the y values.  So the crosshair of the two lines is the point (mean of x, mean of y).

  7. Pro tip • To remove a point on the applet, simply click on it a second time and it will disappear.

  8. Big Ideas • A good LSRL has a • Low s (standard deviation of residuals) • High (coefficient of determination)

  9. LSRL = =

  10. Check your understanding

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