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. O X O 24 485 34 746 2 81 28 5 117 32 728 23 445 4 10 128 26 9 y 1 35 8 121 13 266 y 581 (a) Construct a scatterplot of the data. 800 5 141 600 400 200 Lat 30 40 y 61 800 476 600 400 200 126 10 ... 10 20 20 30 Q 40 Ⓡ y 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. 800 600 400 200 y 800 600 400 200 10 10 20 20 30 30 40 40 @
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. O X O 24 485 34 746 2 81 28 5 117 32 728 23 445 4 10 128 26 9 y 1 35 8 121 13 266 y 581 (a) Construct a scatterplot of the data. 800 5 141 600 400 200 Lat 30 40 y 61 800 476 600 400 200 126 10 ... 10 20 20 30 Q 40 Ⓡ y 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. 800 600 400 200 y 800 600 400 200 10 10 20 20 30 30 40 40 @
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
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
O
24
2
34 746
28
5
4
26
32 728
1
23 445
8
10 128
y
800
y
600
485
400
200
81
581
13 266
y
117
9 126
800
5 141
(a) Construct a scatterplot of the data.
600
400
200
61
476
35
121
LC
8
10
20
30
10
20
30
X
40 i
40 A
y
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.
800
600
400
200
10
y
800
%
600
t
400
200
10
20
20
30
30
40
X
Ⓡ
40 Ⓡ
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 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.
(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.
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.
O 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.
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