BIOL 3P96 Lecture Notes - Lecture 17: Prediction Interval, Nonlinear Regression, Logistic Regression

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A method that predicts values of one numerical variable from the values of another numerical variable. Slope or steepness of the line indicates the rate of change. Random sample of individuals from a population. Explanatory variable used to predict the other (response) Researcher chooses the values of the explanatory variable. Response variable is measured in one or more individuals assigned to each treatment. Draws a straight line through the data. Line that results in the most accurate prediction of y from x has the smallest possible deviations in y between the data and the regression line. Least squares regression line is the line for which the sum of all the squared deviations in. X i x 2 b= (x i x )(y i y ) Can use same shortcut formulas from correlation. Least-squares regression line always goes through point. Solve for the intercept using a= y b x. Sample data is an estimate of the true regression in the population.

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