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 79.2 79.1 57.5 67.5 77.0 38.4 Award Winners 5.4 9.1 3.3 1.7 10.6 0.1 Construct a scatterplot. Choose the correct graph below. (As shown in the picture) The linear correlation coefficient is r= (Round to three decimal places as needed.) Determine the null and alternative hypotheses. H0:P = H1:ρ= (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.
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 79.2 79.1 57.5 67.5 77.0 38.4 Award Winners 5.4 9.1 3.3 1.7 10.6 0.1 Construct a scatterplot. Choose the correct graph below. (As shown in the picture) The linear correlation coefficient is r= (Round to three decimal places as needed.) Determine the null and alternative hypotheses. H0:P = H1:ρ= (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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
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
α=0.05.
|
Internet Users
|
79.2
|
79.1
|
57.5
|
67.5
|
77.0
|
38.4
|
|
|---|---|---|---|---|---|---|---|
|
Award Winners
|
5.4
|
9.1
|
3.3
|
1.7
|
10.6
|
0.1
|
Construct a scatterplot. Choose the correct graph below.
(As shown in the picture)
The linear correlation coefficient is
r=
(Round to three decimal places as needed.)
Determine the null and alternative hypotheses.
H0:P =
H1:ρ=
(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.
the significance level, there________ 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 = 0.05.
Internet Users
79.2
79.1
57.5
67.5
77.0
38.4 D
Award Winnore
33
17
106
12-
Click to select your answer(s).
O 8:22
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