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Presentation transcript:

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

Complete #4cd from homework

Lesson 3.2 Day 4 Outliers and the LSRL

Objectives Describe how the least-squares regression line, standard deviation of the residuals, and 𝑟 2  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.

Stapplet Activity Work with a partner on one chromebook

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).

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

Big Ideas A good LSRL has a Low s (standard deviation of residuals) High r 2 (coefficient of determination)

LSRL 𝑦 = 𝑏 0 + 𝑏 1 𝑥 𝑏 1 =𝑟 𝑠 𝑦 𝑠 𝑥 𝑏 0 = 𝑦 − 𝑏 1 𝑥

Check your understanding

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