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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=0.05.

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.

MATLAB: An Introduction with Applications
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
α=0.05.
 
Internet Users
80.6
78.2
57.3
67.0
77.6
39.1
 
Award Winners
5.5
8.6
3.4
1.7
11.1
0.1
 
 
 
 

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Part 1
Construct a scatterplot. Choose the correct graph below.
 
 
A.
 
 
 
3090012Internet UsersAward Winners
 
  •  
  •  
  •  
A scatterplot has a horizontal axis labeled Internet Users from 30 to 90 in increments of 5 and a vertical axis labeled Award Winners from 0 to 12 in increments of 1. Six plotted points loosely follow the pattern of a cuve that falls from left to right passing through the points (39, 11.9), (67, 10.3), and (78, 3.4). All coordinates are approximate.
 
B.
 
 
 
3090012Internet UsersAward Winners
 
  •  
  •  
  •  
A scatterplot has a horizontal axis labeled Internet Users from 30 to 90 in increments of 5 and a vertical axis labeled Award Winners from 0 to 12 in increments of 1. Six plotted points loosely follow the pattern of a curve rising from left to right passing through the points (39, 0.1), (67, 1.7), and (78, 8.6). All coordinates are approximate.
 
C.
 
 
 
3090012Internet UsersAward Winners
 
  •  
  •  
  •  
A scatterplot has a horizontal axis labeled Internet Users from 30 to 90 in increments of 5 and a vertical axis labeled Award Winners from 0 to 12 in increments of 1. Six plotted points loosely follow the pattern of a curve that rises from left to right passing through the points (42, 3.4), (63, 8.6), and (81, 11.9). All coordinates are approximate.
 
D.
 
 
 
3090012Internet UsersAward Winners
 
  •  
  •  
  •  
A scatterplot has a horizontal axis labeled Internet Users from 30 to 90 in increments of 5 and a vertical axis labeled Award Winners from 0 to 12 in increments of 1. Six plotted points loosely follow the pattern of a curve that passes through the points (42, 8.6), (63, 3.4), and (81, 0.1). All coordinates are approximate.
Part 2
The linear correlation coefficient is
r=0.7830.783.
​(Round to three decimal places as​ needed.)
Part 3
Determine the null and alternative hypotheses.
 
H0​:
ρ
equals=
equals=
greater than>
less than<
not equals≠
00
H1​:
ρ
not equals≠
equals=
not equals≠
greater than>
less than<
00
​(Type integers or decimals. Do not​ round.)
Part 4
The test statistic is
t=enter your response here.
​(Round to two decimal places as​ needed.)
Part 5
The​ P-value is
enter your response here.
​(Round to three decimal places as​ needed.)
Part 6
Because the​ P-value of the linear correlation coefficient is
greater than
less than or equal to
greater than
the significance​ level, there
is not
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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