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STAT 1400
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Lecture 16

# STAT 1400 Lecture 16: 4.20 Stat Notes (Ch. 9)

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University of Missouri - Columbia

Statistics

STAT 1400

Margaret Bryan

Spring

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Stat 1400 4.20.2017 9:30 am Homework due Tuesday (425) Student Question: How do you set up homework question 9.2.4? ~ ~ ~ Answer: CI : p z* p(1 p) (n+4) The leastsquares regression line The leastsquares regression line is the unique line such that the sum of the vertical distances between the data points and the line is zero, and tsquaredof the vertical distances is the smallest possible. o Square the value to account for negative values Residualso The vertical distances from each point to the leastsquares regression line are called residuals. The sum of all the residuals is by definition 0. Outliers have unusually large residuals (in absolute value). Points above the line have a positive Points below the line have a residual negative residual (over estimation). (under estimation). ^ Predicted y Observed y dist. (y y)residual 1

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