Does the relationship between x and y look approximately linear? O Yes, the relationship looks approximately linear. O No, the relationship does not look approximately linear. (b) What is the equation of the estimated regression line? (Round your numerical values to four decimal places.) y = (c) Are the assumptions of the simple linear regression model reasonable? Justify your answer using appropriate graphs. O Yes, the assumptions are reasonable and the linear pattern in the standardized residual plot confirms it. O No, the assumptions are not reasonable and the curved pattern in the standardized residual plot confirms it. O Yes, the assumptions are reasonable and the random pattern in the standardized residual plot confirms it. O No, the assumptions are not reasonable and the linear pattern in the standardized residual plot confirms it. O No, the assumptions are not reasonable and the random pattern in the standardized residual plot confirms it.
Does the relationship between x and y look approximately linear? O Yes, the relationship looks approximately linear. O No, the relationship does not look approximately linear. (b) What is the equation of the estimated regression line? (Round your numerical values to four decimal places.) y = (c) Are the assumptions of the simple linear regression model reasonable? Justify your answer using appropriate graphs. O Yes, the assumptions are reasonable and the linear pattern in the standardized residual plot confirms it. O No, the assumptions are not reasonable and the curved pattern in the standardized residual plot confirms it. O Yes, the assumptions are reasonable and the random pattern in the standardized residual plot confirms it. O No, the assumptions are not reasonable and the linear pattern in the standardized residual plot confirms it. O No, the assumptions are not reasonable and the random pattern in the standardized residual plot confirms it.
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
![Consider the following data on y = number of songs stored on an MP3 player and x = number of months the user has owned the MP3 player for a
sample of 15 owners of MP3 players.
X
24
34
2
28
5
4
26
1
32 728
8
y
23 445
13
485
10 128
9
748
5
81
581
117
61
476
35
121
266
126
141](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40315545-4105-40be-9538-9fdadd3b0bcf%2F990ec86e-c3d7-4df6-8a9b-e413c5659fb8%2Fe91la6b_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following data on y = number of songs stored on an MP3 player and x = number of months the user has owned the MP3 player for a
sample of 15 owners of MP3 players.
X
24
34
2
28
5
4
26
1
32 728
8
y
23 445
13
485
10 128
9
748
5
81
581
117
61
476
35
121
266
126
141
![Does the relationship between x and y look approximately linear?
O Yes, the relationship looks approximately linear.
O No, the relationship does not look approximately linear.
(b) What is the equation of the estimated regression line? (Round your numerical values to four decimal places.)
y =
(c) Are the assumptions of the simple linear regression model reasonable? Justify your answer using appropriate graphs.
O Yes, the assumptions are reasonable and the linear pattern in the standardized residual plot confirms it.
O No, the assumptions are not reasonable and the curved pattern in the standardized residual plot confirms it.
O Yes, the assumptions are reasonable and the random pattern in the standardized residual plot confirms it.
O No, the assumptions are not reasonable and the linear pattern in the standardized residual plot confirms it.
O No, the assumptions are not reasonable and the random pattern in the standardized residual plot confirms it.
(d) Is the simple linear regression model useful for describing the relationship between x and y? Test the relevant hypotheses using a significance
level of 0.05. Calculate the test statistic. (Round your answer to two decimal places.)
t =
Use technology to find the P-value for this test? (Round your answer to four decimal places.)
What can you conclude?
O Fail to reject Ho. We do not have convincing evidence of a useful linear relationship between the number of songs stored and the number
of months the MP3 player has been owned.
Reject Ho. We have convincing evidence of a useful linear relationship between the number of songs stored and the number of months
the MP3 player has been owned.
O Fail to reject Ho. We have convincing evidence of a useful linear relationship between the number of songs stored and the number of
months the MP3 player has been owned.
O Reject Ho. We do not have convincing evidence of a useful linear relationship between the number of songs stored and the number of
months the MP3 player has been owned.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40315545-4105-40be-9538-9fdadd3b0bcf%2F990ec86e-c3d7-4df6-8a9b-e413c5659fb8%2Fyl85vvb_processed.png&w=3840&q=75)
Transcribed Image Text:Does the relationship between x and y look approximately linear?
O Yes, the relationship looks approximately linear.
O No, the relationship does not look approximately linear.
(b) What is the equation of the estimated regression line? (Round your numerical values to four decimal places.)
y =
(c) Are the assumptions of the simple linear regression model reasonable? Justify your answer using appropriate graphs.
O Yes, the assumptions are reasonable and the linear pattern in the standardized residual plot confirms it.
O No, the assumptions are not reasonable and the curved pattern in the standardized residual plot confirms it.
O Yes, the assumptions are reasonable and the random pattern in the standardized residual plot confirms it.
O No, the assumptions are not reasonable and the linear pattern in the standardized residual plot confirms it.
O No, the assumptions are not reasonable and the random pattern in the standardized residual plot confirms it.
(d) Is the simple linear regression model useful for describing the relationship between x and y? Test the relevant hypotheses using a significance
level of 0.05. Calculate the test statistic. (Round your answer to two decimal places.)
t =
Use technology to find the P-value for this test? (Round your answer to four decimal places.)
What can you conclude?
O Fail to reject Ho. We do not have convincing evidence of a useful linear relationship between the number of songs stored and the number
of months the MP3 player has been owned.
Reject Ho. We have convincing evidence of a useful linear relationship between the number of songs stored and the number of months
the MP3 player has been owned.
O Fail to reject Ho. We have convincing evidence of a useful linear relationship between the number of songs stored and the number of
months the MP3 player has been owned.
O Reject Ho. We do not have convincing evidence of a useful linear relationship between the number of songs stored and the number of
months the MP3 player has been owned.
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