Solve the problem.
You obtain the multiple regression equation
=
3 - 6x
1 + 2x
2 from a set of sample data. Interpret the slope coefficients for x
1 and x
2.
◦ The slope coefficient of x
1 is 2. This indicates that
will increase 2 units, on average, for every 1-unit increase in x
1, provided that x
2 remains constant. The slope coefficient of x
2 is
-6. This indicates that
will decrease 6 units, on average, for every 1-unit increase in x
2, provided that x
1 remains constant.
◦ The slope coefficient of x
1 is 6. This indicates that
will increase 6 units, on average, for every 1-unit increase in x
1, provided that x
2 remains constant. The slope coefficient of x
2 is
-2. This indicates that
will decrease 2 units, on average, for every 1-unit increase in x
2, provided that x
1 remains constant.
◦ The slope coefficient of x
1 is
-2. This indicates that
will decrease 2 units, on average, for every 1-unit increase in x
1, provided that x
2 remains constant. The slope coefficient of x
2 is 6. This indicates that
will increase 6 units, on average, for every 1-unit increase in x
2, provided that x
1 remains constant.
◦ The slope coefficient of x
1 is
-6. This indicates that
will decrease 6 units, on average, for every 1-unit increase in x
1, provided that x
2 remains constant. The slope coefficient of x
2 is 2. This indicates that
will increase 2 units, on average, for every 1-unit increase in x
2, provided that x
1 remains constant.
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