PSYCH 3090 Lecture Notes - Lecture 11: Explained Variation, Psych
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Day 11: proportion of variance in y that can be explained by (or is attributed to) Proportion of explained variables: coefficient of determination: differences in x, equation r2= If r = 0. 4, then r2 = 0. 16. 1. 0 would mean perfect prediction: the stronger the correlation between y and x, the greater will be the proportion of explained variance in y due to x. Regression equation (standard score form: assume we still have pairs of scores on x and y. Now, convert all the y scores to z-scores: what is the mean of the z-scores for x, what is the mean of the z-scores for y, calculate a regression equation using these z-scores. We still want the best fitting line. z" y=r z x o: the slope (rzx) is the correlation between x and y, what is the y intercept. The y intercept is 0 (a = 0)
