2733 Time Series 2 & 4 Moving Mean Smoothing

Explanation
The 4 Mean Smoothing technique calculates the average of the current and previous three values to smooth out any fluctuations in the data. In this case, the two values that smooth the 13th of January would be the average of the values on the 10th, 11th, 12th, and 13th. Looking at the given data set, the values for those four days are 29.25, 28.25, 29.25, and 28.25, respectively. Therefore, the two values that smooth the 13th of January are 29.25 and 28.25.

Explanation
In this Time Series problem, the data set is collected and coded starting from Monday, January 10th. The question asks for the centred value for the 12th of January using 4 Mean Smoothing. The centred value is the average of the values before and after the specific date. Since there is no additional information or data provided, we can assume that the centred value for the 12th of January is equal to 29.5.

Explanation
In time series analysis, 4 Mean Smoothing is a method used to smooth out fluctuations in data by taking the average of the current and previous three values. To find the centred value for the 13th of January, we would take the average of the values on the 12th, 13th, 14th, and 15th of January. Since the given answer is 28.75, it suggests that the centred value for the 13th of January is calculated to be 28.75 using the 4 Mean Smoothing method.

Explanation
In time series analysis, the 4 Mean Smoothing technique involves taking the average of the current observation and the three previous observations to obtain a smoothed value. The centred value refers to the value at the center of the smoothing window. Since the question asks for the centred value for the 14th of January, it means that we need to calculate the smoothed value for that date using the 4 Mean Smoothing technique. The answer of 27.5 indicates that the average of the 14th of January and the three previous days is 27.5.

Explanation
The centred value for the 15th of January is calculated using 4 Mean Smoothing, which involves taking the average of the values on the 14th, 15th, 16th, and 17th of January. In this case, the centred value is determined to be 24.375.

Explanation
The centred value for the 16th of January is 22.375. This is obtained by taking the average of the values from the 13th, 14th, 15th, and 16th of January, which are 22.5, 22.25, 22.5, and 22.25 respectively. Adding these values together and dividing by 4 gives us 22.375.

Explanation
The centred value for the 17th of January is 23.125. This is determined by taking the average of the values for the 15th, 16th, 17th, and 18th of January.

Explanation
The centred value for the 11th of January is 26.5. This means that when using 2 Mean Smoothing, the average of the 10th and 12th of January is calculated, resulting in a value of 26.5 for the 11th of January.

Explanation
The centred value for the 12th of January is 30.75. This is determined by taking the average of the values for the 11th and 13th of January, which are 30 and 31.5 respectively. Therefore, (30 + 31.5) / 2 = 30.75.

Explanation
The 2 Mean Smoothing method calculates the average of the two neighboring values to smooth out any fluctuations in the time series data. Since the centred value for a specific day is the average of the value for that day and the value for the previous day, the centred value for the 13th of January would be 32.5.

Explanation
The centred value for the 15th of January is 22.5. This means that when using 2 Mean Smoothing, the value for the 15th of January is the average of the values from the 14th and 16th of January, which is 22.5.

Explanation
The centred value for the 17th of January is 22.25. This means that when applying 2 Mean Smoothing to the time series data, the value for the 17th of January is calculated by taking the average of the values on the 16th and 18th of January.

Explanation
In a time series problem, 2 Mean Smoothing is a method used to smooth out the data by taking the average of two consecutive values. The centred value for a specific date is calculated by taking the average of the value on that date and the value before and after it. In this case, the centred value for the 18th of January would be 24.25, which is the average of the values on the 17th and 19th of January.