True or False

. In a standard multiple regression model, if a plot of residuals versus fitted values shows a fan-shaped pattern with residuals becoming more spread out as fitted values increase, a log transformation of the response variable may result in data more consistent with model assumptions.

. The process of multiplying the dependent variable by a constant, adding a constant to the depend variable, or both, does not change the regressionR² (R-squared).

. In the regression equation y = b0 + b1X1 + b2X2, if b1 = 4, then how much would the predicted value of y differ for two observations that had the same value of X2 but differed by 37 on X1?

. The error term in logistic regression has a binomial distribution.

. Complicated models with a lot of parameters are better for prediction then simple models with just a few parameters.

. If lines do not intersect then there is no indication to add interaction term, even when lines are not parallel.

. If all the explanatory variables are uncorrelated, the variance inflation factor (VIF) for each explanatory variable will be 0.

. After fitting a multiple regression model, a histogram of the residuals helps you detect if the linearity assumption of the model is violated.

. If we fail to reject the null hypothesis (H_o) at a significance level of= 0.05, then we also must fail to reject it at a significance level of= 0.10.

. It can happen that all individual t-tests in a Regression do not reject the null hypothesis, although the global F-test is significant.

. One squareroot-transformed the response variable and now wants to calculate confidence intervals on the original scale. He/she therefore just needs to square the confidence intervals on the transformed scale.

. If residual standard error is 1406 on 588 degrees of freedom, and F-statistics is 319.6 on 11 and 588 degrees of freedom. What is the sample size and what are the degrees of freedom.