A survey was taken in various Statistics classes and the following regression equation was obtained regarding the height and weight of students in the Statistics classes.
Regression equation
Height = 56.8 + 0.0712 Weight
Given the regression equation above, what is the correct interpretation of the slope?
My answer is 56.87 ????? wrong ???
Regression equation:
predicted y = a + bx
...where a represents the y-intercept and b the slope.
In your equation, b (slope) = 0.0712
The regression equation you provided states Height = 56.8 + 0.0712 Weight. In this equation, the slope is the coefficient of the Weight variable, which is 0.0712.
The slope represents the change in the average height for every unit increase in weight. In this case, for every additional unit of weight, the average height is expected to increase by 0.0712 units.
To interpret this slope more precisely, it means that, on average, for every 1-pound increase in weight, there is an expected increase of 0.0712 inches in height.