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In linear regression, what does the slope coefficient represent?

It represents the average change in the dependent variable for a one-unit increase in the predictor, holding other factors constant.

In linear regression, the slope shows how much the predicted outcome changes, on average, for a one-unit increase in the predictor, holding other factors in the model constant. This is the marginal effect of the predictor on the outcome: if the slope is, say, 2, increasing the predictor by one unit tends to raise the dependent variable by about 2 units on average. It’s not the correlation coefficient, which describes the strength and direction of the linear relationship without implying a unit change. It’s not the predicted value when the predictor is zero—that would be the intercept. It’s not the standard deviation of the residuals, which measures how spread out the actual data are around the regression line.

It equals the correlation coefficient.

It is the predicted value when X equals zero.

It is the standard deviation of the residuals.

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