Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. The interpretation of the coefficient of x₁ is that A) a one unit change in x₁ will lead to a 7.682 unit decrease in y. B) a one unit increase in x₁ will lead to a 7.682 unit decrease in y when all other variables are held constant. C) a one unit increase in x₁ will lead to a 7.682 unit decrease in x₂ when all other variables are held constant. D) The unit of measurement for y is required to interpret the coefficient.

Question

Quizplus · Accepted Answer

The coefficient of x₁ is -7.682, which means that a one unit increase in x₁ will lead to a 7.682 unit decrease in y when all other variables are held constant. This is the standard interpretation of a regression coefficient in a multiple regression analysis. Option A is incorrect as it implies a decrease whereas the coefficient is negative. Option C is incorrect as it talks about decrease in x₂ instead of y. Option D is incorrect as unit of measurement of y is not required to interpret the coefficient.

Below You Are Given a Partial Computer Output from a Multiple