Check Image Internet Users (per 100)          Award Winners (per 10 million) 77.2                                         5.4 80.2                                         24.5 78.1                                         8.6 47.8                                         0.0 87.5                                         6.3 39.6                                         0.5

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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1) Check Image

Internet Users (per 100)          Award Winners (per 10 million)

77.2                                         5.4

80.2                                         24.5

78.1                                         8.6

47.8                                         0.0

87.5                                         6.3

39.6                                         0.5

93.6                                         25.4

87.4                                         8.3

74.9                                         10.0

86.6                                         12.8

51.5                                         0.8

74.9                                         13.7

60.5                                         4.6

82.2                                         2.8

89.9                                         11.9

92.7                                         24.6

60.6                                         3.8

59.0                                         2.2

71.8                                         1.6

98.4                                         33.4

83.0                                         30.2

90.5                                         20.0

82.0                                         11.5

 

2)

The linear correlation coefficient is r=

​(Round to three decimal places as​ needed.)

 

3)

Determine the null and alternative hypotheses.

H0​: ρ

H1​: ρ

​(Type integers or decimals. Do not​ round.)

 

4)

The test statistic is t=

​(Round to three decimal places as​ needed.)

 

5)

The​ P-value is

​(Round to three decimal places as​ needed.)

 

6)

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 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 a = 0.05.
E Click to view the data on Internet users and scientific award winners.
Construct a scatterplot. Choose the correct graph below.
OA.
O A.
OB.
O B.
OC.
OD.
40
40-
40-
40-
32-
32-
32-
32-
24-
24-
24-
24-
16-
16-
16
8-
16-
8-
0+
Ó 20 40 60 80 100
8-
8-
0+
o 20 40 60 80 100
0+
O 20 40 60 80 100
Internet Users
0-
O 20 40 60 80 100
Internet Users
Internet Users
Internet Users
ward Winners
Aw ard Winners
Award Winners
Award Winners
Transcribed Image Text: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 a = 0.05. E Click to view the data on Internet users and scientific award winners. Construct a scatterplot. Choose the correct graph below. OA. O A. OB. O B. OC. OD. 40 40- 40- 40- 32- 32- 32- 32- 24- 24- 24- 24- 16- 16- 16 8- 16- 8- 0+ Ó 20 40 60 80 100 8- 8- 0+ o 20 40 60 80 100 0+ O 20 40 60 80 100 Internet Users 0- O 20 40 60 80 100 Internet Users Internet Users Internet Users ward Winners Aw ard Winners Award Winners Award Winners
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