Question

In the simple linear regression​ model, the regression​ slope:(A) indicates by how many units Y ​increases, given a​ one-unit increase in X.(B) when multiplied with the explanatory variable will give you the predicted Y.(C) indicates by how many percent Y​ increases, given a one percent increase in X.(D) represents the elasticity of Y on X.

Answer 1

Answer:

(A) indicates by how many units Y ​increases, given a​ one-unit increase in X.

Step-by-step explanation:

The form for simple linear regression model for outcome y which is a function of predictor x is:

y = β₀ + β₁x + ε  

For this model, β₀ is population parameter which corresponds to intercept and β₁ is the true population slope coefficient which is defined as predicted increase in the y for  a unit increase in the x.

Hence option (A) indicates by how many units Y ​increases, given a​ one-unit increase in X  is correct.