The constant coefficient is represented by a letter that stands by itself, i.e., a letter without an x term next to it. It represents the y intercept, because this is the value of y when x = 0.
In the standard regression equation, y represents the dependent variable.
The coefficient of determination is not a part of the standard regression equation at all. The coefficient of determination is the percentage of the total amount of change in the dependent variable that can be explained by changes in the independent variable.
In the standard regression equation x represents the independent variable.
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