Consider the following data:

Year	1995	1996	1997	1998	1999	2000	2001	2002
Sales (in crores)	6.7	5.3	4.3	6.1	5.6	7.9	5.8	6.1

By using the method of least squares, the trend value for 1997 is :

Consider the following data of expenses (in lakhs) of an organization year wise

Then expected expenses trends for the year 2006 using method of least square is:

Calculate Three Yearly moving averages for the following data

Based on the data available for the production ($y_i$ in thousand tons) of a cloth factory for 7 years ($x_i$) using the method of least squares, the straight line trend is given by $y - a + bx$ with $\sum y_i = 608, \sum x_i = 0, \sum x_iy_i = 116, \sum x_i^2 = 28$. Then, the increase in production per year is:

For a straight line trend $y_t = a+bx$ for $n$ data by the method of least squares if, $n=8, \sum y=47.8, \sum xy=4.3$ and $\sum x^2=42$, then $y_t$ at $x=-3.5$ is _____.

[where $y_t$ represents trend value of y]

Which of the following statement(s) mentioned below do/does not specify the concept of time series analysis:-

A. Time series analysis comprises methods for analysing time series data in order to extract meaningful statistics and other characteristics of the data.

B. Time series analysis provides good forecasts or predictions of further values of the time series.

C. The time series analysis does not derive conclusions after arranging the time series in a systematic manner.

D. The measurement analysis and study of components of time series is called time series analysis.

Choose the correct answer from the options given below:

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: