Health Sciences 3801A/B Chapter Notes - Chapter 4: Pearson Product-Moment Correlation Coefficient, Statistical Significance, Standard Error

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Scatter plot visual representation of relationship between two variables. Positive relationship when increase in one variable is associated with increase in other variable. Negative relationship when increase in one variable associated with decrease in other variable. Straight line has general form y = a + bx: a is constant, b is slope of the line, x is the independent variable. Role of independent variable is to predict scores on dependent variable. These predicted scores are labelled y" to distinguish from actual observed y scores. Therefore, equation for regression line is y" = a + bx. Observed relationship between y and x should be written as y = a + bx + e: e is residual/error between predicted score and observed score, calculated by subtracting predicted score from observed score (y" y) Sum of squares of predicted scores is called regression sum of squares.

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