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Lecture Notes for STAT 2120 - Introduction to Statistical Analysis with Strazzeri at Virginia (UVA)

Notes Information

Material Type:Class Note
Professor:Strazzeri
Class:STAT 2120 - Introduction to Statistical Analysis
Subject:Statistics
University:University of Virginia
Term:Spring 2009
Keywords:
  • Lurking Variables
  • Response Variable
  • Convenience
  • Relationship
  • Association
  • No Correlation
  • Overall Conclusions
  • Lurking Variable
  • Conditional
  • Combination
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Examining Relationships Least-Squares Regression & Cautions about Correlation and Regression Sections 2.3 and 2.4 r ranges from -1 to +1 Strength: how closely the points follow a straight line. ! Direction: is positive when individuals with higher X values tend to have higher values of Y.! Correlation tells us about strength (scatter) and direction of the linear relationship between two quantitative variables. In addition, we would like to have a numerical description of how both variables vary together. For instance, is one variable increasing faster than the other one? And we would like to make predictions based on that numerical description. But which line best describes our data? The regression line !!A regression line is a straight line that describes how a response variable y changes as an explanatory variable x changes. "! We often use a regression line to predict the value of y for a given value of x. "! In regression, the distinction between...

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