Question

The deterministic component: B0 + B1X; can be thought of as the expected

value of Y given X, the mean value of the Ys associated with a particular

value of X.

The stochastic error term must be present in a regression equation because

there are at least four sources of variation in Y other than the variation in

the included Xs:

1. Many minor influences on Y are omitted from the equation (for

example, because data are unavailable).

2. It is virtually impossible to avoid some sort of measurement

error in at least one of the equation’s variables.

3. The underlying theoretical equation might have a different

functional form than the one chosen for the regression. For

example, the underlying equation might be nonlinear in the

variables for a linear regression.

4. All attempts to generalize human behavior must contain at least

some amount of unpredictable or purely random variation.

Extending the notation

The meaning of the regression coefficient beta-one: the impact of a one

unit increase in X-one on the dependent variable Y, holding constant the

other included independent variables.

Multivariate regression coefficients: serve to isolate the impact on Y of a

change in one variable from the impact on y of the changes in the other​

Answer 1

Answer:

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