LINEAR REGRESSION: What it Is and How it Works. Overview. What is Bivariate Linear Regression ? The Regression Equation How It’s Based on r Assumptions. What is Bivariate Linear Regression ?. Predict future scores on Y based on measured scores on X
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y = b1xi+ b0 + ei
y = predicted score on criterion variable
b0 = intercept
xi = measured score on predictor variable
b1 = slope
ei = residual (error score)
Replace x and y with zX and zY:
zY = b1zX + bo
and the y-intercept becomes 0:
zY = b1zX
and the slope becomes r:
zY = rzX
Participants are asked to pretend that they are jurors and, after watching a videotape of a defendant being questioned, indicate whether they think the defendant is guilty or not. The defendants are either African American or Caucasian. The researcher hypothesizes that participants will be more likely to think the African American defendants are guilty as compared to Caucasians.