A manufacturing company has been producing a particular product for the past five years. The company wants to analyze the trend of the production output to forecast future production. The table below shows the production output for the past five years.

Year	Production Output (units)
2017	2,500
2018	3,000
2019	3,500
2020	4,000
2021	4,500

(a) Calculate the mean, median, and mode of the production output for the past five years. (5 marks)

(b) Calculate the range, variance, and standard deviation of the production output for the past five years. (8 marks)

(c) Use the least-squares regression method to find the equation of the trend line and interpret the slope and intercept in the context of the problem. (7 marks)

Answer rating: 100% (QA)

The detailed answer for the above question is provided below a Mean The mean production output for the past five years is calculated as Mean 2500 3000 3500 4000 4500 5 17500 5 3500 Therefore the mean ... View the full answer