Câu 1/. Dự báo khối lượng hàng hóa: Cho các số liệu như sau: Giá trị GDP(ast ) và khối lượng hàng hóa trên địa bàn tỉnh Đồng Nai giai đoạn 201 2020 như sau: (GDP(*): Giá so sánh 201( Tốc độ tǎng trưởng GDP bình quân trong các thời kỳ dự báo như sau : Giai đoạn 2021-2030:11.33% nǎm Giai đoạn 2031-2050:10% nǎm Yêu cầu: 1. Xây dựng hàm hối quy tương quan giữa khối lượng vận chuyển hàng hóa với GDP ; 2. Dự báo Khối lượng vận tải hàng hóa nǎm 2030 vào nǎm 2050;

## Step 1: Understanding the Data### We have GDP data in trillion dong and goods data in 1000 tons for the years 2015 to 2020. The task is to establish a regression relationship between GDP and goods transported, and then use this relationship to forecast goods transport volumes for the years 2030 and 2050.## Step 2: Establishing the Regression Model### To find the correlation between GDP and goods transported, we can use linear regression. The general form of a linear regression model is , where is the dependent variable (goods transported), is the independent variable (GDP), is the intercept, and is the slope.### Using the given data:- GDP values: [122,499, 133,718, 145,697, 155,417, 171,869, 183,472]- Goods values: [45,189, 47,766, 50,530, 53,554, 56,795, 53,963]### Calculate the means of GDP and goods, and then determine the slope ( ) and intercept ( ) using the formulas: ## Step 3: Calculating the Regression Coefficients### Compute the necessary summations and averages to find and . This involves calculating the sum of products of deviations from the mean for both GDP and goods, and the sum of squared deviations from the mean for GDP.## Step 4: Forecasting GDP for 2030 and 2050### Use the given growth rates to project GDP for 2030 and 2050:- For 2030: Use the formula - For 2050: Use the formula ## Step 5: Forecasting Goods Transport Volume### Substitute the projected GDP values into the regression equation to estimate the goods transport volume for 2030 and 2050.