1. Are these statements true, false, or uncertain? Justify.
- The stochastic error term ui and the residual term ei mean the same thing.
- The Population Regression Function (PRF) gives the value of the dependent variable corresponding to each value of the independent variable.
- A linear regression model means a model linear in the variables.
- In the linear regression model, the explanatory variable is the cause and the dependent variable is the effect.
- The conditional and the unconditional mean of the random variable are the same thing.
- The regression coefficients, the bs, are random variables, whereas the s are the parameters.
- The slope coefficient in a simple regression model measures the slope of Y per unit change in X.
- In practice, the two-variable regression model is useless because the behavior of a dependent variable can never be explained by a single explanatory variable.
- The sum of the deviation of a random variable from its mean value is always zero.
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