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Australia's Exports and Imports of Services by Selected Regions Exports ($m) Imports ($m) Country 2017 2018 2017 2018 Africa 1,255 1,308 1,398 1,618 Americas 12,653

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Australia's Exports and Imports of Services by Selected Regions Exports ($m) Imports ($m) Country 2017 2018 2017 2018 Africa 1,255 1,308 1,398 1,618 Americas 12,653 14,139 19,831 21,355 Asia 48,164 53,358 33,604 37,677 Europe 13,374 14,261 23,661 25,714 Oceania and Antartica 6,075 6,453 8,198 9,135 Other 3,457 3,266 2,581 2,284 Source: Australian Government: Department of Foreign Affairs and Trade Composition of Trade Australia 2018The lecturer uses a regression analysis to further evaluate the linear relationship between the two variables - working hours per week and marks attained.~ (a) Specify the dependent variable and the independent variable for this regression analysis. Briefly explain the reasoning for your selection. 1 mark (b) Use an appropriate graphical technique to draw a diagram that evaluates the relationship between the two variables. Display the diagram. On the same diagram, fit a linear trend line including the equation and the coefficient of determination R?. 1.5 marks (c) Use Excel to estimate a simple linear regression model. Display the Excel regression summary table and write the estimated linear equation. Then, provide interpretation of the intercept and slope coefficient estimates of the linear model. 3 marks (d) Display the value of the coefficient of determination. Then, provide an interpretation of the coefficient of determination value in terms of the relationship between the two variables. 1.5 marks

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