City Beverages Company provides a complete product line of beer, soft drink, and juice products. The...

  

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City Beverages Company provides a complete product line of beer, soft drink, and juice products. The following table shows the prices and quantities of the three products from the year of 2020 to 2022. Product Price (S) Beer 25 Soft 18 drink Juice 120 a) 2020 b) Quantity ('000) 20 12 6 2021 Price (S) 30 25 150 Using 2020 as the base year, calculate: (i) a simple aggregate price index for 2022; (ii) Laspeyres price index for 2021; (iii) Paasche quantity index for 2022. Quantity (000) 24 16 8 (2 marks) (3 marks) (3 marks) Price ($) 35 20 2022 200 Quantity ('000) 22 20 State any TWO differences between Laspeyres and Paasche indexes. marks) 10 (Total 10 marks) In a mobile phone factory, workers are required to assemble parts to produce mobile phones. The number of workers and mobile phones produced are observed for five days: Day 1 2 3 4 5 Number of workers Number of mobile phones produced (in hundreds) per day (in thousands) 2 15 4 25 1 10. 5 40 3 30 (a) Determine the dependent variable and the independent variable. (b) Calculate the values of ,, n, Sx, Sy, Sxy, and hence determine the regression equation. (7 marks) (c) Estimate the number of mobile phones produced if the numbers of workers are 250 and 700 respectively. Comment on the reliability of your estimates. (d) Find the correlation coefficient and comment on the result. (e) Find the coefficient of determination and comment on the result. City Beverages Company provides a complete product line of beer, soft drink, and juice products. The following table shows the prices and quantities of the three products from the year of 2020 to 2022. Product Price (S) Beer 25 Soft 18 drink Juice 120 a) 2020 b) Quantity ('000) 20 12 6 2021 Price (S) 30 25 150 Using 2020 as the base year, calculate: (i) a simple aggregate price index for 2022; (ii) Laspeyres price index for 2021; (iii) Paasche quantity index for 2022. Quantity (000) 24 16 8 (2 marks) (3 marks) (3 marks) Price ($) 35 20 2022 200 Quantity ('000) 22 20 State any TWO differences between Laspeyres and Paasche indexes. marks) 10 (Total 10 marks) In a mobile phone factory, workers are required to assemble parts to produce mobile phones. The number of workers and mobile phones produced are observed for five days: Day 1 2 3 4 5 Number of workers Number of mobile phones produced (in hundreds) per day (in thousands) 2 15 4 25 1 10. 5 40 3 30 (a) Determine the dependent variable and the independent variable. (b) Calculate the values of ,, n, Sx, Sy, Sxy, and hence determine the regression equation. (7 marks) (c) Estimate the number of mobile phones produced if the numbers of workers are 250 and 700 respectively. Comment on the reliability of your estimates. (d) Find the correlation coefficient and comment on the result. (e) Find the coefficient of determination and comment on the result.