CUET · MATHS · PYQ PAPER 2025
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 \(y=a+b x\) are \(\sum y=n a+b \sum x\) and \(\sum x y=a \sum x+b \sum x^2\), where \(n\) is the numbers of observations.
Choose the correct answer from the options given below:
- A (A), (B) and (C) only
- B (A), (B) and (D) only
- C (A), (C) and (D) only
- D (B), (C) and (D) only
Answer & Solution
Correct Answer
(B) (A), (B) and (D) only
Step-by-step Solution
Detailed explanation
(A) Correct. The method of least squares determines the trend line by minimizing the sum of squared residuals. (B) Correct. The trend line is also known as the line of best fit. (C) Incorrect. For the line of best fit (least squares), the sum of deviations \…
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