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The strength of the linear relationship between the two variables in the regression equation is the correlation coefficient, r, and is always a value between -1 and 1, inclusive. The regression coefficient is the slope of the line of the regression equation.
The slope would be -2 (moving 2 units down and one across). When you have a linear equation, the slope is always the variable's coefficient.
The correct set of coefficient for an equation depends with the equation in question. There are many types of equations.
A linear equation has no higher powers than 1. This is linear.
Depends on the equation.