Select True or False from each pull-down menu, depending on whether the corresponding statement is true or false.

? True False  1. In multiple regression, the standard error of estimate is defined by $s_\epsilon=\sqrt{SSE/(n-k)}$,where $n$ is the sample size and $k$ is the number of independent variables.

? True False  2. In regression analysis, the total variation in the dependent variable $y$ measured by $\sum{(y_i-\bar{y})^2}$, can be decomposed into two parts: the explained variation, measured by $SSR$, and the unexplained variation, measured by $SSE$.

? True False  3. In multiple regression, and because of a commonly occurring problem called multicollinearity, the $t-$tests of the individual coefficients may indicate that some independent variables are not linearly related to the dependent variable when in fact they are.

? True False  4. In multiple regression, the problem of multicollinearity affects the $t-$tests of the individual coefficients as well as the $F-$test in the analysis of variance for regression, since the $F-$test combines these $t-$tests into a single test.