Regression vs. correlation?
Correlation is used to test whether two variables covary, the strength of the relationship, and the direction of the association. A correlation calculation will generate a P-value and a correlation coefficient (r). By comparison, regression will generate the slope and intercept for a best-fit line that can be used to predict unknown values for the dependent variable.
What percentage of depression is not associated with Facebook usage?
The coefficient of determination (r2) is 0.661, which means that 66.1% of the variance in depression is due to the amount of time spent on Facebook; therefore, 33.9% of the variation in depression cannot be explained by time spent on Facebook.
Q3: Variables that could be contributing to the variance not explained by time spent on Facebook?
The unexplained variance in depression scores is the amount of error between measured levels of depression for a study subject and what was predicted by the regression line. This error is due to other variables, possibly naturally-occurring variation. Natural variation in depression could be explained in part by genetic differences or environmental factors like early life experiences (Klengel & Binder, 2013). The amount of variation explained by genetic factors is represented by the standard error of estimate, but the magnitude of the contribution, if it exists, is unknown.
Q4: Confident in the predictive power of the regression equation?
Yes, the significance of the correlation suggests that the chances of making a prediction error are less than 1 in 1000 (p < 0.000). Stated another way, the amount of time spent on Facebook would correctly predict...
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