MHB Linear Correlation: Is Evidence Sufficient?

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The discussion centers on analyzing the correlation between the number of Internet users per 100 people and the number of scientific award winners per 10 million people across various countries. Participants are tasked with creating a scatterplot, calculating the linear correlation coefficient (r), and determining the P-value to assess the strength of the relationship. A significance level of alpha = 0.01 is specified for evaluating the evidence of linear correlation. Questions arise about understanding the concepts of scatter plots, linear correlation coefficients, and P-values. The conversation emphasizes the need for clarity on these statistical tools to effectively address the problem.
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The accompanying table lists the 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 = 0.01.

Internet users per 100 data, Award winners per 10 million data:
78.2, 5.4
83.0, 23.5
82.0, 8.7
40.1, 0.5
79.7, 5.0
38.9, 0.2
90.6, 23.8
93.7, 8.3
80.7, 10.4
84.3, 11.2
52.3, 3.2
81.2, 13.2
58.1, 2.4
76.4, 1.3
95.4, 10.8
97.5, 24.8
66.4, 2.0
54.7, 2.8
69.9, 2.9
97.7, 30.6
87.5, 31.7
83.6, 19.4
82.2, 9.9
 
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What was your purpose in posting this? Do you just want someone to do your homework for you?

The problem asks you to construct a "scatter plot". Do you know what a "scatter plot" is? Do you know what a "linear correlation coefficient​" and "P-value" are?
 
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