I have the correct answers but require a detailed step-by-step explanation of how to do each question by hand.

Use the following information to calculate your answers to questions 1 through 7.

Consider the following annual series on the number of people assisted by a county's human resources department.

Year	People (in 100s)
1	22
2	24
3	28
4	24
5	22
6	24
7	20
8	26
9	24
10	28
11	26

1. What is the 3-year moving average for period 4? The correct answer is: 24.67

2. What is the 3-year moving average forecast for period 12? The correct answer is: 26.00

3. What is the Mean Square Error (MSE) for the 3-year moving average?The correct answer is: 7.67

4. Using a smoothing constant of 0.4, what is the exponential smoothing value to be used as forecasts for period 4?The correct answer is: 24.88

5. Using a smoothing constant of 0.4, what is the exponential smoothing value to be used as forecasts for period 12?The correct answer is: 25.70

6. Using a smoothing constant of 0.4, what is the Mean Square Error (MSE) for exponential smoothing?The correct answer is: 8.41

7. When comparing the accuracy of both forecasting techniques (3-year moving average and exponential smoothing with a 0.4 smoothing constant) we can conclude thatThe correct answer is: the 3-year moving average is more accurate since its MSE is less than that of exponential smoothing.