(I)A local entertainment establishment, in a small town, is trying to decide whether it should increase its weekly advertising expenditure on a campus radio station. The last six weeks of data on monthly revenue (y) and radio advertising expenditurex) are as follows: Week 3 4 5 6 Revenue (S000) 4.0 5.0 2.0 4.0 9.0 6.0 Advertising Expenditure (S00) 2.0 3.0 0.0 6.0 8.0 5.0 (a) Write a regression model that relates both variables, estimate the parameters of the model and present your results in standard form. Interpret the results. (b)Assume that in the following week #7, the firm decided to increase its advertisement expenditure to 10 (hundred) comment, briefly, on the impact of this new spending on its total revenue according to this model. (2)The table below gives the per capita income (Y) and the percentage of the economy represented by agriculture (X) for five countries: 47 23 12 Y 73 19 10 14 (a)What is your expectation about the relationship between both variables? Explain. (b)Use an appropriate statistical technique to determine if any relationship exists between the variables. If an association between them can be established, explain the nature and the strength of this association. (3)A survey of 96 gas stations in a city shows differences in the prices charged for regular gasoline. The table below presents the frequency distribution of the prices. (class intervals do not include the upper limit) Classes (S) 2.00-2.05 2.05-2.10 2.10-2.15 2.15-2.20 2.20-2.25 2.25-2.30 Frequency 12 20 30 16 10 (a)Present the data in the form of a histogram, a polygon and an Ogive.(b)Find the mean, median and mode. (c)Comment on the shape of the distribution (4)A rational and risk averse investor is considering expanding its portfolio to include one of the following two assets, A & B. Their rates of return over the previous 5 years are as follows. A (%) B (%) 4.5 1.5 5.5 7.2 17.8 Using the principle of risk-return, determine the choice this investor could make. Explain your