# Correlation and Regression

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Correlation Scatterplots Regression Generating results in SPSS Reading SPSS output Correlation, Scatterplots and Regression ã Correlation measures the strength and the direction of relationship ã Scatterplots present visual image of data ã Regression produces a best-fit line to predict dependent variable from independent variable ã Significance of relationship tested with correlation or regression Correlation: Linear Relationships Strong relationship = good linear fit 180 160 140 160 140 12
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CorrelationScatterplotsRegression Generating results in SPSS Reading SPSS output  Correlation, Scatterplotsand Regression ã Correlation measures the strength and the direction of relationship ã Scatterplots present visual image of data ã Regression produces a best-fit line to predict dependent variable fromindependent variable ã Significance of relationship tested with correlation or regression  0204060801001201401601800 50 100 150 200 250 Drug A (dose in mg)     S   y   m   p   t   o   m     I   n    d   e   x 0204060801001201401600 50 100 150 200 250 Drug B (dose in mg)    S  y  m  p   t  o  m    I  n   d  e  x Very good fit Moderate fit  Correlation: Linear Relationship s  Strong relationship = good linear fit    Points clustered closely around a line show a strong correlation.The line is a good predictor (good fit) with the data. The morespread out the points, the weaker the correlation, and the lessgood the fit. The line is a REGRESSSION line (Y = bX + a)  Interpreting Correlation Coefficient  r    strong correlation: r  > .70 or r  <  –  .70  moderate correlation: r  is between .30 & .70or r  is between  –  .30 and  –  .70  weak correlation: r  is between 0 and .30 or r  is between 0 and  –  .30 .
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