**Analyzing Linear Correlation between Internet Users and Scientific Award Winners**Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear 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 \( \alpha = 0.05 \).| Internet Users | 79.9 | 79.4 | 55.8 | 67.9 | 77.3 | 39.0 ||----------------|------|------|------|------|------|------|| Award Winners | 5.4 | 9.1 | 3.4 | 1.8 | 10.6 | 0.1 |**Step 1: Construct a Scatterplot**Choose the correct scatterplot from the options given below.- **Option A:** This scatterplot presents a spread of points in what appears to be a weak positive linear pattern. - **Option B:** This scatterplot presents a spread of points that appears scattered without a discernible pattern. - **Option C (Correct Answer):** This scatterplot shows a weak negative linear correlation, where, as the number of Internet users increases, the number of award winners seems to decrease slightly. - **Option D:** This scatterplot presents a spread that does not clearly indicate linear correlation.**Step 2: Calculate the Linear Correlation Coefficient, \( r \)**The linear correlation coefficient \( r \) quantifies the strength and direction of a linear relationship between two variables. Calculate \( r \) and round to three decimal places as needed.**The linear correlation coefficient is \( r = \_\_\_\).**

Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear 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 79.9 79.4 55.8 67.9 77.3 39.0 Award Winners 5.4 9.1 3.4 1.8 10.6 0.1 Construct a scatterplot. Choose the correct graph below. A. В. D. 12- 12- 12- 121 0- 30 0- 30 0+ 30 90 90 30 90 90 Internet Users Internet Users Internet Users Internet Users The linear correlation coefficient is r= (Round to three decimal places as needed.)

Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear 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 79.9 79.4 55.8 67.9 77.3 39.0 Award Winners 5.4 9.1 3.4 1.8 10.6 0.1 Construct a scatterplot. Choose the correct graph below. A. В. D. 12- 12- 12- 121 0- 30 0- 30 0+ 30 90 90 30 90 90 Internet Users Internet Users Internet Users Internet Users The linear correlation coefficient is r= (Round to three decimal places as needed.)

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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Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear 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 77.9 79.7 56.2 66.2 78.8 37.6 Award Winners 5.5 8.7 3.3 1.7 10.6 0.1 ..... Construct a scatterplot. Choose the correct graph below. OA. OB. OC. OD. 121 12- 12 12- 30 90 30 Internet Users 30 90 30 90 90 Internet Users Internet Users Internet Users The linear correlation coefficient is r= (Round to three decimal places as needed.) Award Winners Award Winners Award Winners Award Winners
Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear 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 = 0.01. Internet Users 80.1 78.1 57.2 66.4 76.9 38.6 O Award Winners 5.3 9.4 3.3 1.8 10.7 0.1
The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear 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. Should we expect that there would be a correlation? Use a significance level of α=0.05. Best Actress - Best Actor 27 - 41 30 - 35 29 - 36 61 - 45 31 - 52 34 - 46 45 - 62 30 - 52 60 - 38 23 - 52 44 - 44 52 - 32 what is the linear coefficient?
Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear 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 α=0.01. Internet Users 78.1 80.6 56.3 66.2 77.1 38.5 Award Winners 5.7 8.9 3.4 1.7 10.6 0.1
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Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear 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 α=0.01. Internet Users 80.4 79.0 57.9 66.3 76.4 39.0 Award Winners 5.7 9.2 3.2 1.8 10.9 0.1
The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear 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. Should we expect that there would be a correlation? Use a significance level of α=0.05. LOADING... Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. A. 20702070Best Actress (years)Best Actor (years) A scatterplot has a horizontal axis labeled Best Actress in years from 20 to 70 in increments of 5 and a vertical axis labeled Best Actor in years from 20 to 70 in increments of 5. Twelve points are plotted. Eleven of the plotted points follow the pattern of a line rising from left to right passing through the points (24, 38) and (66, 58). An…
Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear 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 α = 0.05. Internet Users Award Winners 30 Internet Users 90 80.1 79.1 57.2 5.3 3.3 8.7 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.) 30 67.8 1.6 77.8 37.9 10.4 0.1 Internet Users 90 Because the P-value of the linear correlation coefficient is a linear correlation between Internet users and scientific award winners. (.... 30 Internet…
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Consider the following hypothesis test. Ho: M₁ M₂ ≤ 0 Ha: M₁ M₂ > 0 The following results are for two independent samples taken from two populations. Sample Size Sample Mean Sample Variance 69 Sample 1 34 42 141 Sample 2 30 35 171 (a) Determine the degrees of freedom for the t-distribution. (Use Sample 1 - Sample 2. Round your answer down to the nearest integer.) X (b) Compute the test statistic. (Round your answer to three decimal places.) (c) Determine the p-value. (Round your answer to four decimal places.) (d) Test the above hypotheses. Let a = 0.05. O Do not reject Ho. There is insufficient evidence to conclude that μ₁ - M₂ > 0. O Do not reject Ho. There is sufficient evidence to conclude that μ₁ - ₂ > 0. O Reject Ho. There is insufficient evidence to conclude that μ₁ - ₂ > 0. Reject Ho. There is sufficient evidence to conclude that μ₁ −μ₂ > 0.