CUET Mathematics: Statistics & ApplicationsTrends & Data. Free, no login required.

The behavior and pattern of the data in a time series is NOT based on which of the following component?

Let $y = 138.86 + 7.64(x - 2021)$ be a straight line of best fit by using least square method to the following data:

Then the trend value for the year 2024 is:

For the given five values, 13, 17, 21, 22, 32; the 3-year moving averages are:

In a time series, the variations which occur due to general tendency of the data to increase or decrease over a long term are known as:

If $(t_1, y_1), (t_2, y_2), (t_3, y_3), ..., (t_n, y_n)$ denote the time series and $y_t$ are the trend values of the variable y, then $\sum(y - y_t)$, the sum of the deviations of y from their corresponding trend value is equal to:

The rise and fall of share market is an example of

If for the following data:

the equation of the straight line trend is $y = 45.143 + 1.036(x - 2003)$, then the trend value for the year 2004 is

For the given five values 18, 25, 20, 36, 49, the three years moving averages are

The following data shows the percentage of urban Indian households who have a high speed 5G internet connection:

If a straight line trend by the method of least square for the above data is $y = 23 + 6.9(x - 2022)$, then the forecast for the year 2025 is:

For the given five values, 15, 24, 18, 33, 42, the three-year moving averages are

Which of the following are examples of irregular trends in a time series?

(A) Decrease in production due to a sudden strike.

(B) The rise in prices before festivals

(C) Unusual rise in income of the printing press due to the announcement of an election.

(D) Fall in crop yield due to floods.

Choose the correct answer from the options given below:

Which of the following are normal equations to fit a straight line trend y = a + bx by the method of least squares?

The following data shows the percentage of rural and urban Indian households who have a high speed internet connection.

Based on the above data, which of the following statements are correct?

(A) A straight line trend by the method of the least squares for rural Indians is $y^t$ = 3.4 + 0.7 (x - 2022)

(B) A straight line trend by the method of the least squares for urban Indians is $y^t$ = 11.4 + 4.3 (x - 2022)

(C) The forecast for the year 2025 for urban group using the trend equation is 22.2 %.

(D) The forecast for the year 2025 for rural group using the trend equation is 5.5 %.

Choose the correct answer from the options given below:

Irregular trends in a time series are caused by

(A) Epidemics

(B) Strikes

(C) Festival season

(D) Floods

Choose the correct answer from the options given below:

In an influenza epidemic, the number of cases diagnosed in a week were as follows:

The 3-day moving averages are:

If $y = 70 + 0.964(x - 2014)$ be a straight line trend fitted by the method of the least squares to the above data, then the trend value for the year 2015 is:

The pattern and behavior of the data in any time series are based on which of the following components:

(A) Secular trend component

(B) Seasonal component

(C) Cyclical component

(D) Irregular component

Choose the correct answer from the options given below:

The number of letters posted in a certain city on each day for a week is given as follows: 40, 55, 28, 25, 31, 52, 43. Which of the following is not an entry in the three-day moving averages?

In reference to the above data, which of the following statements are correct? (where $x = t - 2013$)

(A) If the equation of the straight line trend is $y = 12 + 2.29 x$, then the trend value for the year 2017 is 21.16.

(B) If the equation of the straight line trend is $y = 12 + 2.29 x$, then the trend value for the year 2013 is 11.

(C) If the equation of the straight line trend is $y = 12 + 2.29 x$, then the trend value for the year 2015 is 17.

(D) If $(t_1, y_2),(t_2, y_2),(t_3, y_3),......,(t_n, y_n)$ denote the time series and $y_t$ are the trend values of the variable y, then $\sum(y - y_t) = 0$.

Choose the correct answer from the options given below:

For predicting the straight line trend in the sales of cars (in thousands) on the basis of 5 consecutive years' data, the company makes use of a 3-year moving averages method. If the sales of the cars for respective years are 15, 24, 18, 33 and 42 respectively, then which of the following averages will not be computed?

The rise in prices before festivals is an example of

For the given 5 values 24, 18, 33, 42, 24; the 3-year moving averages are:

Due to which of the following, the irregular variations in a time series are caused:

(A) Floods

(B) Rise in prices before festivals

(C) A fire in a factory

(D) Epidemics

Choose the correct answer from the options given below:

Which of the following are the components of a time series?

(A) Cyclic component

(B) Regular component

(C) Seasonal component

(D) Economic component

Choose the correct answer from the options given below:

If $y = a + b(x - 2022)$ is a straight line trend using the least square method for the following data

Then the value of $\frac{a}{b}$ is:

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:

Which of the following is not a component of the time series?

For the given 5 values, 15, 18, 21, 27,39; the three year moving averages are:

For the given five values 15,24,18,33,42, the three years moving averages are

On which of the following components, the pattern and behavior of the data in any time series is based?

(A). Secular trend component

(B). Seasonal component

(C). Cyclical component

(D). Regular component

Choose the correct answer from the options given below: