Question 1196833
**1. Predicting Growth in Least Developed Countries**

* **We need the regression equation.** The regression equation will be in the form: 
    * Growth in Least Developed Countries = Intercept + (Slope * Growth in Industrialized Countries)

* **Let's assume:** 
    * The regression equation is: Growth in Least Developed Countries = 2.5 + 0.7 * Growth in Industrialized Countries 

* **If industrialized countries grow 4%:**
    * Predicted Growth in Least Developed Countries = 2.5 + 0.7 * 4 = 2.5 + 2.8 = 5.3%

**2. Comparison with Actual Growth**

* **Actual Growth:** 4.17%
* **Predicted Growth:** 5.3%

* **Conclusion:** The actual growth of 4.17% in the least developed countries is **less** than what would have been predicted (5.3%) based on the 4% growth in industrialized countries.

**3. Calculate the Residual**

* **Residual:** The difference between the actual value and the predicted value.
* **Residual:** Actual Growth - Predicted Growth = 4.17% - 5.3% = -1.13%

**Therefore:**

* The predicted growth rate for the least developed countries when industrialized countries grow by 4% is **5.3%**.
* The actual growth was **less** than predicted.
* The residual for this year is **-1.13%**. 

**Note:** This is an illustrative example. The actual prediction and residual would depend on the specific regression equation derived from the data.