Question 7 (Unit 9) - 10 marks You will need to use Minitab to answer this question, The Minitab file that you require for this question should be downloaded from the 'Assessment' area on the module website. The Minitab worksheet Trade.mwx contains data about the trade of goods by the United Kingdom with countries in Europe and the Americas. It contains the value of trade, as export and import, to each country, measured in million f, for the year 2018. The first column, headed Country, contains the name of the country, while the other two columns, headed Export and Import, contain the value of trade in each category. The ONS publishes such trade information in an official publication called the Pink Book. Run Minitab and open this worksheet. (a) Use Minitab to make a scatterplot of Import as the response var able, y. against Export as the explanatory variable, a. Include a copy of the plot in your answer. (b) Consider the scatterplot from part (a). Is the correlation coefficient between the two variables likely to be positive or negative? What is your best guess for the value of the correlation coefficient? Explain your answers. Here the marks are for your explanations, and not for how close your guess is to the calculated value. (c) Suppose you had been asked instead to produce a scatterplot with Import as the explanatory variable, r, and Export as the response variable, y. Would this change the sign of the correlation coefficient? Explain your answer. (d) Use Minitab to calculate and report the correlation coefficient between the two variables. You do not need to include a copy of the Minitab output in your answer. [1] (e) By looking at the scatterplot from part (a), do you think there are any outliers? Explain your answer. [2] (f) Would an increase in Export necessarily cause an increase in Import? (g) Suppose that UK exports to all countries halved due to a production crisis, while imports remained at the same level. Will the correlation between the resulting export and import values become half of the original correlation value? Explain your answer. page 8 of 9