CUET · MATHS · PYQ PAPER 2025
If \(y=a+b(x-2022)\) is a straight line trend using the least square method for the following data
| Year(x) | 2020 | 2021 | 2022 | 2023 | 2024 |
| Profit(Rs. '000)(y) | 2 | 3 | 4 | 5 | 2 |
- A \(15\)
- B \(5\)
- C \(16\)
- D \(\frac{2}{3}\)
Answer & Solution
Correct Answer
(C) \(16\)
Step-by-step Solution
Detailed explanation
\(n = 5\) \(\sum y = 2+3+4+5+2 = 16\) \(x' = x-2022\) \(\sum x' = (-2)+(-1)+0+1+2 = 0\) \(\sum x'y = (-2)(2)+(-1)(3)+(0)(4)+(1)(5)+(2)(2) = -4-3+0+5+4 = 2\) \(\sum (x')^2 = (-2)^2+(-1)^2+0^2+1^2+2^2 = 4+1+0+1+4 = 10\) \(a = \frac{\sum y}{n} = \frac{16}{5} = 3.2\)…
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