In: Statistics and Probability
GRADE =B1 + B2SKIP + Ɛ
Using the equation above make an equation from the description beIow
“TaIIer people tend to be heavier” Iet the words “taIIer” and “heavier” be represented by the variabIe “height” and “weight”, respectiveIy. Suppose, we come up with an econometrics modeI to study a dataset of these variabIes for the demographic segment of a university faculty members.
In statistical language, you want to formulate a simple linear regression equation. General formula for simple linear regression equation is
Y= Bo + B1X + .
Where, Y is dependent variable, X is independent variable, Bo and B1 are regression coefficients where Bo is intercept and B1 is the slope. is random error component.
In the above description, it is given that the Taller people tend to be heavier so the variable height is independent variable and variable weight depends on height so weight is dependent variable. So equation is
Weight = Bo + B1 Height + .
Please note that in regression terminology usually we use Bo and B1 so I am using that. In above equation you used B1 and B2 so please use Bo instead of B1 and B1 instead of B2.
For more information on regression analysis you can refer to a book Introduction to Linear Regression Analysis by D.C. Montgomery.
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