Suppose a multiple regression model is given by y 266x1 737

Suppose a multiple regression model is given by y= 2.66x1 - 7.37x2 + 39.75. What would an interpretation of the coefficient of x1 be?

Solution

In single regression the equation will be Y = bo + b1 X

where bo is the constant, b1 is the slope

For multiple regression the equation be ELEMENTS OF A MULTIPLE REGRESSION EQUATION. Y=a + b₁X₁+ b₂X₂ + b₃X₃. Y is the value of the Dependent variable (Y), what is being predicted or explained. a (Alpha) is the Constant or intercept. b₁ is the Slope (Beta coefficient) for X₁.

Foe the current scenerio it is 2.66