Question

QUESTION 1 If a t-test is performed in the context of a multiple regression model and the null hypothesis cannot be rejected, this means that A. the independent variable for which the test has been performed has a significant relationship with the dependent variable. B. the independent variable for which the test has been performed has no significant relationship with the dependent variable. C. all independent variables have a significant relationship with the dependent variable. D. no independent variable has a significant relationship with the dependent variable. QUESTION 2 The OLS method A maximizes the sum of the squared residuals. B, minimizes the sum of the squared residuals. C. minimizes the sum of the residuals. D.maximizes the sum of the residuals. QUESTION 3 The population standard deviation can be calculated as the squared root of the sample variance. True False

Answer 1

If a t test is performed in the context of a multiple regression model and the null hypothesis cannot be rejected, this means that the independent variable for which the test has been performed has no significant relationship with the dependent variable.

(The Null hypothesis for t test for coefficient $\beta_i$ in multiple regression states, $\mathrm{H_0:\beta_i=0}$ )

The OLS method minimizes the sum of the squared residuals.

The population standard deviation can be calculated as the squared root of sample variance. FALSE

$\mathrm{(\ Population\ Standard\ Deviation=\sigma=\sqrt{\frac{\sum (X_i-\overline{X})^2}{N}}\ N:population\ size}$

$\mathrm{Sample\ Variance=S^2=\frac{\sum (X_i-\overline{X})^2}{n-1},\ n:sample\ size)}$