Answer if true or false

. The sum of all residuals of each measurement, xi, from the mean, f, or 22(11- f), is zero because the mean divides the distribution of the data into two equal halves. . The mean of a set of data whose weights are equal to 4 will be the same as the mean of a set of data whose weights are unity. . The standard deviation controls only the spread of a Gaussian distribution of data. . Any distribution of data assumes the shape of a Gaussian distribution with a mean that will always be equal to zero according to the Central Limit Theorem . The cumulative distribution function is the integral of a distribution function. The method of least squares is assumed to generate a line that nds the smallest average residual across a dataset. . A correlation coefficient of zero means that the data has no correlation. Multiple Linear Regression assumes that the dependent variable has a linear relationship with each factor affecting the distribution of data. Multiple Linear Regression will only work effectively on factors (independent variables} that have different distribution of variances