(First interview) Answer the statements true/false. (a) The law of large numbers says that as the sample size increases the distribution of the sample mean will become closer to the normal distribution. (b) When performing simple univariate linear regression, the slope of the regression line after regressing X on Y is always the same as the slope of the regression line after regression Y on X. (c) If a father whose height is far above average has a son whose height is barely above average, this can be explained by the regression effect. (d) The distribution of the sample standard deviation follows the t-distribution with the number of degrees of freedom equal to the sample size minus one.
