Which of the following are correct?

(A) Time series analysis does not help to understand the behavior of a variable in the past.

(B) Time series predict the future behavior of variable.

(C) Time series helps to plan future operations.

(D) The main aim of the time series analysis is to derive conclusions after arranging the time series in a systematic manner.

Choose the correct answer from the options given below:

The question asks which statements about time series analysis are correct.

Time series analysis involves analyzing data collected over time, such as stock prices, temperature readings, or sales figures.

Statement (A): "Time series analysis does not help to understand the behavior of a variable in the past."

This is incorrect. Time series analysis is fundamentally about understanding past behavior by identifying patterns and trends in historical data.

Statement (B): "Time series predict the future behavior of variable."

This is correct. After studying past patterns, time series analysis enables forecasting future values. For example, if sales increase every December for multiple years, predictions can be made for future December sales.

Statement (C): "Time series helps to plan future operations."

This is correct. Predictions from time series analysis enable planning. For instance, a shop owner forecasting high December sales can stock more inventory accordingly.

Statement (D): "The main aim of the time series analysis is to derive conclusions after arranging the time series in a systematic manner."

This is correct. Time series analysis organizes data by time order and draws meaningful conclusions from this systematically arranged data.

The correct statements are B, C, and D.

Checking the options:

• Option 1: (A), (B) and (D) - includes incorrect statement A
• Option 2: (A), (B) and (C) - includes incorrect statement A
• Option 3: (B), (C) and (D) - all statements are correct
• Option 4: (C) and (D) - missing correct statement B

Therefore, the correct answer is Option 3.