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For more information, please see full course syllabus of Statistics
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Lecture Comments (4)

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Post by Alex Starks on March 9, 2014

These lectures need to be redone, the unorganized explanations is the last thing we should be seeing in a math based lecture.

1 answer

Last reply by: Nick Lardner
Fri Jun 8, 2012 6:07 AM

Post by Nick Lardner on June 8, 2012

how do you work out SSXX and SSYY? you dont mention it in your video...

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Post by holly song on June 8, 2012

Do you have any released AP statistics for practice? Thanks!

Hypothesis Testing for the Slope of a Least Squares Regression Line

  • If the random errors of the simple linear regression are normally distributed, then the sampling distribution of b is normal.

  • To calculate the estimator of the standard deviation of b, sb , the quantities of Sxx, Sxy , and Syy will be needed.

  • To test the slope of the regression line β, use the t-distribution with ν = n − 2 degrees of freedom.

Hypothesis Testing for the Slope of a Least Squares Regression Line

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • Sampling Distribution of b 0:08
  • Calculating the Estimator of Standard Deviation of b 1:18
  • Hypothesis Testing for Beta 1:50
  • Example 1: Age 2:25
  • Example 2: Weld Diameter 6:42
  • Extra Example 1
  • Extra Example 2