QUESTION 1 An automobile company wants to explore the relationship between the engine capacity (in thousands of cc) and horsepower produced by each engine build. The information gathered is shown below: Engine Capacity (CC) | Horsepower (HP) 1.0 55 1.3 70 1.5 1.8 105 2.0 125 2.4 157 2.5 168 3.0 195 3.5 244 Determine the dependent and independent variables for the above situation. (1 mark] Construct a scatter diagram for these data. What can you conclude from the diagram? (5 marks) Calculate the Pearson's Product Moment Correlation coefficient for these data. Comment on the result obtained. (5 marks) iv) Calculate the coefficient of determination and explain its meaning. (2 marks) v) Find the regression equation by using least square method. (4 marks) vi) Explain the slope obtained in (v]. (1 mark] vill Estimate the horsepower gained for a 5000 engine capacity. (2 marks)