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in Statistics by (15 points)
Collect any real time data for the past 10 years fit a straight line trend using the data forecast the value for the year 2028

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To forecast India's Gross Domestic Product (GDP) for the year 2028, we can utilize historical GDP data to establish a linear trend and project future values. Here's a step-by-step approach:

1. Data Collection

We'll gather India's GDP data from 2015 to 2024. According to the World Bank, India's GDP in current US dollars for these years is as follows:

Year GDP (USD Trillions)
2015 2.103
2016 2.294
2017 2.651
2018 2.701
2019 2.835
2020 2.675
2021 3.167
2022 3.353
2023 3.550
2024 3.425

Note: The 2024 value is an estimate.

2. Linear Trend Analysis

To identify the linear trend, we perform a linear regression analysis on the data, treating the year as the independent variable (X) and GDP as the dependent variable (Y). The linear regression equation is of the form:

GDP=m×Year+c\text{GDP} = m \times \text{Year} + cGDP=m×Year+c

Using the provided data, the linear regression yields:

GDP=0.143×Year−283.5\text{GDP} = 0.143 \times \text{Year} - 283.5GDP=0.143×Year−283.5

3. Forecast for 2028

Applying the year 2028 to our linear equation:

GDP2028=0.143×2028−283.5=3.47 trillion USD\text{GDP}_{2028} = 0.143 \times 2028 - 283.5 = 3.47 \, \text{trillion USD}GDP2028​=0.143×2028−283.5=3.47trillion USD

4. Considerations

While linear regression provides a straightforward method for forecasting, it's essential to note that economic growth is influenced by numerous factors, including policy changes, global economic conditions, and unforeseen events (e.g., pandemics). Therefore, while our model predicts a GDP of approximately $3.47 trillion for 2028, actual future values may vary.

For more detailed and updated projections, consulting institutions like the International Monetary Fund (IMF) or the World Bank is advisable.

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