Question 2 The purpose is to estimate the total number of employees from a population of 100 businesses. For a simple random sample of 5 businesses, the following data relate to number of employees (Y), and net annual turnover (X). X: turnover in 1000: 10 15 20 30 40 Y: number of employees 5 6 10 12 17 We know that the population mean of X is 24. a) Define the regression estimator for the population total of the variable Y. Define all symbols used. b) Calculate the regression estimate for the population total of the variable Y. [3] [5] c) Estimate the variance of the regression estimator. [12] d) Is the regression estimator precise? Justify your answer. [5]