x: 3, 6, 5, 8, 10, 6, 10, 4, 6, 5, 4 y: 26.7, 14.6, 12.1, 19.8, 39.1, 40.2, 29.9, 0.1, 16.3, 12.2, 9.7 Perform a hypothesis test with a 8% level of significance to determine whether or not there is a significant linear correlation between the number of endorsements an athlete receives and the amount of money they make.
x: 3, 6, 5, 8, 10, 6, 10, 4, 6, 5, 4 y: 26.7, 14.6, 12.1, 19.8, 39.1, 40.2, 29.9, 0.1, 16.3, 12.2, 9.7 Perform a hypothesis test with a 8% level of significance to determine whether or not there is a significant linear correlation between the number of endorsements an athlete receives and the amount of money they make.
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
Question
I keep messing up my P values
![A random sample of 11 professional athletes produced the following data, where a is the number of
endorsements the player has and y is the amount of money the player made (in millions of dollars).
(Comma separated lists of the data are also provided below the table to ease in copying the data to
R.)
Number of Endorsements (x)
Millions of Dollars Player Made (y)
3
26.7
6.
14.6
12.1
8.
19.8
10
39.1
6.
40.2
10
29.9
4
0.1
6.
16.3
5
12.2
4
9.7
x: 3, 6, 5, 8, 10, 6, 10, 4, 6, 5, 4
y: 26.7, 14.6, 12.1, 19.8, 39.1, 40.2, 29.9, 0.1, 16.3, 12.2, 9.7
Perform a hypothesis test with a 8% level of significance to determine whether or not there is a
significant linear correlation between the number of endorsements an athlete receives and the
amount of money they make.
tho null and alternative hypotheses.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ef5f725-b08b-4f71-a80c-f37e47d07785%2Fa86a19cb-8167-4857-b8d4-f0be4776c091%2Fkj21fwr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A random sample of 11 professional athletes produced the following data, where a is the number of
endorsements the player has and y is the amount of money the player made (in millions of dollars).
(Comma separated lists of the data are also provided below the table to ease in copying the data to
R.)
Number of Endorsements (x)
Millions of Dollars Player Made (y)
3
26.7
6.
14.6
12.1
8.
19.8
10
39.1
6.
40.2
10
29.9
4
0.1
6.
16.3
5
12.2
4
9.7
x: 3, 6, 5, 8, 10, 6, 10, 4, 6, 5, 4
y: 26.7, 14.6, 12.1, 19.8, 39.1, 40.2, 29.9, 0.1, 16.3, 12.2, 9.7
Perform a hypothesis test with a 8% level of significance to determine whether or not there is a
significant linear correlation between the number of endorsements an athlete receives and the
amount of money they make.
tho null and alternative hypotheses.
![x: 3, 6, 5, 8, 10, 6, 10, 4, 6, 5, 4
y: 26.7, 14.6, 12.1, 19.8, 39.1, 40.2, 29.9, 0.1, 16.3, 12.2, 9.7
Perform a hypothesis test with a 8% level of significance to determine whether or not there is a
significant linear correlation between the number of endorsements an athlete receives and the
amount of money they make.
Step 1: State the null and alternative hypotheses.
Ho:P
= vV 0
(So we will be performing a two-tailed
test.)
Part 2 of 4
Step 2: Determine the features of the distribution used to test the significance of the
correlation coefficient.
with
To test the significance of the correlation coefficient, we will use a t-distribution
V degrees of freedom.
Part 3 of 4
Step 3: Find the p-value of the point estimate.
0.0610
= P(t v
1.973
P(r 2 0.582
p-value
0.0610
Ouortion Heln: O Post to forum](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ef5f725-b08b-4f71-a80c-f37e47d07785%2Fa86a19cb-8167-4857-b8d4-f0be4776c091%2F7t20ntq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:x: 3, 6, 5, 8, 10, 6, 10, 4, 6, 5, 4
y: 26.7, 14.6, 12.1, 19.8, 39.1, 40.2, 29.9, 0.1, 16.3, 12.2, 9.7
Perform a hypothesis test with a 8% level of significance to determine whether or not there is a
significant linear correlation between the number of endorsements an athlete receives and the
amount of money they make.
Step 1: State the null and alternative hypotheses.
Ho:P
= vV 0
(So we will be performing a two-tailed
test.)
Part 2 of 4
Step 2: Determine the features of the distribution used to test the significance of the
correlation coefficient.
with
To test the significance of the correlation coefficient, we will use a t-distribution
V degrees of freedom.
Part 3 of 4
Step 3: Find the p-value of the point estimate.
0.0610
= P(t v
1.973
P(r 2 0.582
p-value
0.0610
Ouortion Heln: O Post to forum
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