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Question 25 A social scientist would like to analyse the relationship between educational attainment (in years of higher education) and annual salary (in $1,000s). She collects data on 20 individuals as follows: Table 5 Salary Education 40 3 53 4 80 6 42 IN 70 5 50 110 8 38 W O 42 55 35 40 70 un 60 140 40 75 65 125 8 38 0 a) Determine the Pearson correlation, r, between Salary and Education and discuss your result. [2+1=3 marks] b) Find the sample regression equation for the model: Salary = a+ b*Education + u. [7 marks] c) Interpret the coefficient of education (b). [4 marks] d) Interpret the coefficient of determination. Does this seem like a promising model? Explain. [1+1=2 marks] e) What is the predicted salary for an individual who completed ten years of higher education? Is the prediction accurate? [2+2=4 marks]