CUET Mathematics 2025 21 May Shift 2 PYQs

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

Which of the following statements are correct?

(A) The method of least squares determines the position of the trend line of the given time series.

(B) The trend line is called the line of best fit.

(C) The line of best fit is a line in which the sum of deviations of the actual values of the variable from their corresponding trend value is always positive.

(D) The normal equations of the trend line $y = a + bx$ are $\sum y = na + b\sum x$, $\sum x \cdot ext{and} \sum xy = a\sum x + b\sum x^2$, where $n$ is the numbers of observations.

Choose the correct answer from the options given below:

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