Pearson's r

# Pearson's r - Pearson's Product Moment Correlation Use To...

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Pearson's Product Moment Correlation Use: To determine the linear relationship between 2 interval or ratio variables Pearson's r cannot be used to determine causality Assumptions: Interval or Ratio data Normally distributed: Skewness and kurtosis close to 0 for both variables Linear: Not curvilinear (use scatterplot to check this) Independent Observations: Each variable is independent of the other Formula: Overview: List out scores for both of your variables into columns so that each row represents one individual’s scores on the two variables. Convert both variables to z scores. For each person, multiply the two z scores together, then find the sum of these products. Divide the sum of the products by N to get r. Then look up the critical value of r to determine if the correlation is statistically significant. Example Problem Five students reported the number of hours they studied for the test. Calculate the correlation between the number of hours studied and grade on the test. Then determine whether this

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