Let $y = 138.86 + 7.64(x - 2021)$ be a straight line of best fit by using least square method to the following data: | Year(x) | 2018 | 2019 | 2020 | 2021 | 2022 | 2023 | 2024 | |---|---|---|---|---|---|---|---| | Profit(y) (in Rs. '000) | 114 | 130 | 126 | 144 | 138 | 156 | 164 | Then the trend value for the year 2024 is:

Consider the following data:

The equation of straight line trend by using least square method is $y = 138.86 + 7.64 (x - 2007)$, then the trend values for the year 2004 is

For a certain data $(x_i, y_i)$, $i = 1,2,...,7$: $\sum_{i=1}^{7} y_i = 246$ and $\sum_{i=1}^{7} u_iy_i = 29$, $\sum_{i=1}^{7} u_i^2 = 28$ where $u_i = x_i - 2004$, then straight line trend by the method of least square is :

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:

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

The 3-day moving averages are:

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?

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