CUET · MATHS · PYQ PAPER 2025
The following data shows the percentage of rural and urban Indian households who have a high speed internet connection.
| Year(x) | Rural Household \((y \%)\) | Urban Household\((y \%)\) |
| 2020 | 2 | 6 |
| 2021 | 3 | 7 |
| 2022 | 3 | 9 |
| 2023 | 4 | 15 |
| 2024 | 5 | 20 |
(A) A straight line trend by the method of least squares for rural Indians \(y_t=3.4+0.7(x-2022)\)
(B) A straight line trend by the method of least squares for urban Indians is \(y_t=11.4+4.3(x-2022)\)
(C) The forecast for the year 2025 for urban group using the trend equation is \(22.2 \%\)
(D) The forecast for the year 2025 for rural group using the trend equation is \(5.5 \%\)
Choose the correct answer from the options given below :
- A (A), (B) and (D) only
- B (A), (C) and (D) only
- C (A) and (D) only
- D (B) and (C) only
Answer & Solution
Correct Answer
(B) (A), (C) and (D) only
Step-by-step Solution
Detailed explanation
\(\bar{x} = \frac{2020+2021+2022+2023+2024}{5} = 2022\) \(\sum (x-\bar{x})^2 = (-2)^2+(-1)^2+0^2+1^2+2^2 = 4+1+0+1+4 = 10\) (A) Rural Households: \(\bar{y}_{rural} = \frac{2+3+3+4+5}{5} = \frac{17}{5} = 3.4\)…
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