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=0.01. Determine the null and alternative hypotheses. ​(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.) Because the​ P-value of the linear correlation coefficient is ▼ greater than, less than or equal to the significance​ level, there ▼ is, is not sufficient evidence to support the claim that there is a linear correlation between Internet users and scientific award winners.

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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.