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 equals 0.01. Construct a scatterplot. Choose the correct graph below. The linear correlation coefficient is r equals __? (Round to 3 decimal places) Determine the null and alternative hypotheses. (Type integers or decimals. Do not round.) The test statistic is t___ (Round to 2 decimal places.) The P-value is___ (Round to 3d ecimal places.) 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.
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 equals 0.01. Construct a scatterplot. Choose the correct graph below. The linear correlation coefficient is r equals __? (Round to 3 decimal places) Determine the null and alternative hypotheses. (Type integers or decimals. Do not round.) The test statistic is t___ (Round to 2 decimal places.) The P-value is___ (Round to 3d ecimal places.) 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.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Concept explainers
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.
Question
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 equals 0.01.
- Construct a scatterplot. Choose the correct graph below.
- The linear correlation coefficient is r equals __? (Round to 3 decimal places)
- Determine the null and alternative hypotheses. (Type integers or decimals. Do not round.)
- The test statistic is t___ (Round to 2 decimal places.)
- The P-value is___ (Round to 3d ecimal places.)
-
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.
Transcribed Image Text: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
79.9
80.2
56.6
66.3
78.7
38.2 O
Award Winners
5.3
8.7
3.4
1.6
11.1
0.1
The linear correlation coefficient is r=
(Round to three decimal places as needed.)
Determine the null and alternative hypotheses.
Ho: P
H,: P V
(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
the significance level, there
sufficient evidence to support the claim that there is a linear correlation between Internet users and scientific
award winners.
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