1. You are interested in the relationship between salary and
hours spent studying amongst first year students at Manchester
University Business School. Explain how you would use a sample to
collect th
Question 2 Using the data you collected above you wish to run a regression. Explain any problems you might face and what sign you would expect the coefficients of this regression to have. Question 3
Solve the integra Iſ x3 + 7dx. Show all your steps with explanations of what you are doing. 5 Marks Question 4 X-Nung) Show that is an unbiased estimator of the variance of the sample mean given that the xi's are independent. 25 Marks Question 5 Find all the first derivatives of the function fQ,y) = x0.9y1.8 Show all of your steps with explanations of what you are doing. 5 Marks