(a) You want to examine the relationship between the scores students receive on their mid-term test (SCORE, in %) and their study hours (HOUR, in hour). Based on a sample of 50 students, you obtained the following results: Where b0 and b1 are the intercept and the slope, respectively, of the regression, and i is the white noise error terms. i) What is the unbiased estimate for the population slope for study hour (HOUR)? ii) Interpret the slope (b1 ) in this estimation. iii) Find the correlation coefficient for the scores and study hours. What sign does it have? Explain. iv) You believe that there is a positive correlation between the scores and study hours. Construct the null and alternative hypotheses for your claim. (b) For each of the following, indicate which time series component is represented. Provide your reasoning. i) Lecturers of the School of Business find that Friday is the most popular day of the week for students' absenteeism from classes. ii) Political advertising in Malaysia peaks every 5 years. iii) Sales of a H1N1 medication increase after the product receives positive publicity in newspapers and/or medical journal articles