Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

The following data shows the percentage of urban Indian households who have a high speed 5G internet connection:

Year (x)

2020

2021

2022

2023

2024

Urban house hold (y)

9%

18%

21%

29%

38%

If a straight line trend by the method of least square for the above data is $y = 23+ 6.9 (x-2022)$, then the forecast for the year 2025 is:

Options:

54.6%

43.7%

47.6%

34.8%

Correct Answer:

43.7%

Explanation:

The correct answer is Option (2) → 43.7%

Given trend line: y = 23 + 6.9(x − 2022)

For the year 2025, x = 2025

y = 23 + 6.9(2025 − 2022)

y = 23 + 6.9 × 3

y = 23 + 20.7

y = 43.7%

Forecasted percentage of urban households with 5G in 2025 ≈ 43.7%