How do I write a Results section for Correlation?

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How do I write a Results section for Correlation?

• The report of a correlation should include:
  1. r - the strength of the relationship
  2. p value - the significance level. "Significance" tells you the probability that the line is due to chance. More specifically, the "Significance" represents a test of whether the line is different from a flat line (e.g. a flat line would be represented by a Pearson correlation = 0). Any p-values less than .05 indicates that the result is not due to chance.

     
     

     Some researchers also include:

  3. n - the sample size
  4. Descriptive statistics of each variable
  5. R² - the coefficient of determination. This is the amount of variance explained by another variable. You can calculate R² by squaring the Pearson Correlation. If you multiple this by 100, you converted the value into a percentage. - If your correlation is .352, then .352 x .352 = .124. So the variance explained is 12.4%. This also means that 87.6% of the variance is unexplained since 100 -.124 = .876. In terms of percentage of variance explained, small is 1%, medium is 9%, and large is 25%.

• Examples:
  1. There was a positive correlation between the two variables, r = .35, p = < .001.
  2. There was a positive correlation between height (M = 55.39 SD = 16.33) and weight (M = 145.22 SD = 15.54) , r = .35, p = < .001, n = 100.
  3. There was a positive correlation between the two variables, r = .35, p = < .001, with a R² = .124

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