Find the regression equation, letting the first variable be the predictor (x) variable. Find the best predicted Nobel Laureate rate for a country that has 79.5 Internet users per 100 people. How does it compare to the country's actual Nobel Laureate rate of 1.5 per 10 million people? E Click the icon to view the data. Data table ..... Find the equation of the regression line. 9-ロ+Ox (Round the constant to one decimal place as needed. Round the coefficient to three decimal places as needed.) Internet Users Per 100 Nobel Laureates 79.3 5.6 80.6 24.4 The best predicted number of Nobel Laureates when the number of internet users per 100 is 79.5 is. (Round to one decimal place as needed.) 78.2 8.6 How does it compare to the country's actual Nobel Laureate rate of 1.5 per 10 million people? 45.3 0.1 83.5 6.2 O A. The best predicted value is very close to the actual Nobel Rate. 38.4 0.1 OB. The best predicted value is equal to the actual Nobel Rate. 89.6 25.6 89 7.6 OC. The best predicted value is not at all close to the actual Nobel Rate. 79.1 6. O D. The best predicted value is the opposite of the actual Nobel Rate. 82.9 12.7 53.4 1.9 77.3 12.6 56.9 3.3 79.3 1.5 93 11.4 94.5 25.7 64.6 3.1

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### Finding the Best Predicted Nobel Laureate Rate 

**Objective:**
Determine the regression equation using the number of internet users as the predictor (x variable) to find the best predicted Nobel Laureate rate for a country with 79.5 internet users per 100 people. Compare this to a known country rate of 1.5 per 10 million people.

**Instructions:**
1. **Calculate the Regression Line Equation:**
   - Use the formula: \( \hat{y} = c + mx \)
   - Round the constant to one decimal place.
   - Round the coefficient to three decimal places.

2. **Determine the Predicted Nobel Laureates:**
   - Input 79.5 into the regression formula.
   - Round the result to one decimal place.

3. **Comparison:**
   - Assess how the predicted value compares to the actual Nobel rate of 1.5 per 10 million people.

**Options:**
- A: The best predicted value is very close to the actual Nobel Rate.
- B: The best predicted value is equal to the actual Nobel Rate.
- C: The best predicted value is not at all close to the actual Nobel Rate.
- D: The best predicted value is the opposite of the actual Nobel Rate.

### Data Table Overview

The data table presents two columns:
1. **Internet Users Per 100** 
2. **Nobel Laureates**

#### Sample Data Points:
- 79.3 internet users correlate to 5.6 Nobel Laureates.
- 80.6 internet users correlate to 24.4 Nobel Laureates.
- 72.2 internet users correlate to 8.6 Nobel Laureates.
- 82.9 internet users correspond to 12.7 Nobel Laureates.
- 94.5 internet users correspond to 25.7 Nobel Laureates.

This data will aid in establishing the relationship between the number of internet users and the number of Nobel Laureates, which is necessary for forming the regression equation.
Transcribed Image Text:### Finding the Best Predicted Nobel Laureate Rate **Objective:** Determine the regression equation using the number of internet users as the predictor (x variable) to find the best predicted Nobel Laureate rate for a country with 79.5 internet users per 100 people. Compare this to a known country rate of 1.5 per 10 million people. **Instructions:** 1. **Calculate the Regression Line Equation:** - Use the formula: \( \hat{y} = c + mx \) - Round the constant to one decimal place. - Round the coefficient to three decimal places. 2. **Determine the Predicted Nobel Laureates:** - Input 79.5 into the regression formula. - Round the result to one decimal place. 3. **Comparison:** - Assess how the predicted value compares to the actual Nobel rate of 1.5 per 10 million people. **Options:** - A: The best predicted value is very close to the actual Nobel Rate. - B: The best predicted value is equal to the actual Nobel Rate. - C: The best predicted value is not at all close to the actual Nobel Rate. - D: The best predicted value is the opposite of the actual Nobel Rate. ### Data Table Overview The data table presents two columns: 1. **Internet Users Per 100** 2. **Nobel Laureates** #### Sample Data Points: - 79.3 internet users correlate to 5.6 Nobel Laureates. - 80.6 internet users correlate to 24.4 Nobel Laureates. - 72.2 internet users correlate to 8.6 Nobel Laureates. - 82.9 internet users correspond to 12.7 Nobel Laureates. - 94.5 internet users correspond to 25.7 Nobel Laureates. This data will aid in establishing the relationship between the number of internet users and the number of Nobel Laureates, which is necessary for forming the regression equation.
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