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Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 mill people correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.05. Internet Users Award Winners OA. 12- 30 Internet Users 90 81.0 5.6 Q Q 79.2 56.8 8.8 3.4 The linear correlation coefficient is r= (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: P H₁: P Type integers or decimals. Do not round.) The test statistic is t=. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) 67.1 76.9 37.7 D 1.7 10.5 0.1 OB. 12 0- 30 Because the P-value of the linear correlation coefficient is scientific award winners. Internet Users 90 Q Q *** O C. 12 0- 30 HILHEA Internet Users the significance level, there 90 Q OD. 12 0+ 30 Internet Users 10 90 Q sufficient evidence to support the claim that there is a linear correlation between

Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 mill people correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.05. Internet Users Award Winners OA. 12- 30 Internet Users 90 81.0 5.6 Q Q 79.2 56.8 8.8 3.4 The linear correlation coefficient is r= (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: P H₁: P Type integers or decimals. Do not round.) The test statistic is t=. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) 67.1 76.9 37.7 D 1.7 10.5 0.1 OB. 12 0- 30 Because the P-value of the linear correlation coefficient is scientific award winners. Internet Users 90 Q Q *** O C. 12 0- 30 HILHEA Internet Users the significance level, there 90 Q OD. 12 0+ 30 Internet Users 10 90 Q sufficient evidence to support the claim that there is a linear correlation between

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Analyzing Correlation Between Internet Users and Scientific Award Winners #### Provided Data The table below lists the number of Internet users per 100 people and the number of scientific award winners per 10 million people for different countries. - **Internet Users:** 81.0, 79.2, 56.8, 67.1, 76.9, 37.7 - **Award Winners:** 5.6, 8.8, 1.7, 10.5, 0.1 #### Objectives 1. Construct a scatterplot of the data. 2. Find the value of the linear correlation coefficient \( r \). 3. Determine the P-value of \( r \). 4. Determine if there is sufficient evidence to support a claim of linear correlation between the two variables using a significance level of \( \alpha = 0.05 \). #### Scatterplot Options Four scatterplot options (A, B, C, D) are presented. The correct scatterplot should visually represent the relationship between the number of Internet users and the number of scientific award winners. - **Option A:** Incorrect. - **Option B:** Incorrect. - **Option C:** Incorrect. - **Option D:** Correct. Note: Option D is chosen based on the appropriate visual representation of the provided data. #### Calculations and Hypotheses 1. **Linear Correlation Coefficient: \( r \)** - Calculation: \( r = \text{...} \) - Rounded to three decimal places. 2. **Null and Alternative Hypotheses:** - \( H_0 \): \( \rho = 0 \) (No linear correlation) - \( H_1 \): \( \rho \neq 0 \) (There is a linear correlation) \( H_0 \): \( \rho = \text{...} \) \( H_1 \): \( \rho \neq \text{...} \) 3. **Test Statistic: \( t \)** - Calculation: \( t = \text{...} \) - Rounded to two decimal places. 4. **P-value:** - Calculation: \( P = \text{...} \) - Rounded to three decimal places. #### Conclusion - **Significance Level:** \( \alpha = 0.05 \
Transcribed Image Text:### Analyzing Correlation Between Internet Users and Scientific Award Winners #### Provided Data The table below lists the number of Internet users per 100 people and the number of scientific award winners per 10 million people for different countries. - **Internet Users:** 81.0, 79.2, 56.8, 67.1, 76.9, 37.7 - **Award Winners:** 5.6, 8.8, 1.7, 10.5, 0.1 #### Objectives 1. Construct a scatterplot of the data. 2. Find the value of the linear correlation coefficient \( r \). 3. Determine the P-value of \( r \). 4. Determine if there is sufficient evidence to support a claim of linear correlation between the two variables using a significance level of \( \alpha = 0.05 \). #### Scatterplot Options Four scatterplot options (A, B, C, D) are presented. The correct scatterplot should visually represent the relationship between the number of Internet users and the number of scientific award winners. - **Option A:** Incorrect. - **Option B:** Incorrect. - **Option C:** Incorrect. - **Option D:** Correct. Note: Option D is chosen based on the appropriate visual representation of the provided data. #### Calculations and Hypotheses 1. **Linear Correlation Coefficient: \( r \)** - Calculation: \( r = \text{...} \) - Rounded to three decimal places. 2. **Null and Alternative Hypotheses:** - \( H_0 \): \( \rho = 0 \) (No linear correlation) - \( H_1 \): \( \rho \neq 0 \) (There is a linear correlation) \( H_0 \): \( \rho = \text{...} \) \( H_1 \): \( \rho \neq \text{...} \) 3. **Test Statistic: \( t \)** - Calculation: \( t = \text{...} \) - Rounded to two decimal places. 4. **P-value:** - Calculation: \( P = \text{...} \) - Rounded to three decimal places. #### Conclusion - **Significance Level:** \( \alpha = 0.05 \
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