PHYSICS 3K03 Final: Summary of Correlation Coefficient and the Coefficient of Determination

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Summary of correlation coefficient and the coefficient of determination. Objective: draw a line of best fit using tech. 2r with predictability = chance = confidence for the two variables. Note 1 : correlation coefficient = r. this number ranges from 1 to 1 and gives the strength and direction of the linear relationship between two variables. It measures how well the line fits the scatter plots. Note 2 : coefficient of determination = r 2 . This number ranges form 0 to 1 and gives the percent of the data values that lie on the regression model. , then approximately 52% of the data are on the model. (technically, 52% of the variability of the y variable is due to changes in the x-variable. ) Note3: r = r and the sign of r corresponds to the type of variation: positive for. 2 positively sloped lines, negative for negatively sloped lines. You will have to insert the negative sign as needed.

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