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. 22 487 36 748 2 81 28 581 5 117 32 728 23 445 10 128 4 61 26 476 1 35 8 121 13 266 9 126 5 141 (a) Construct a scatterplot of the data. 800- 600- 400- 200- 10 20 30 800- 600- 400- 200- 10 20 30 Does the relationship between x and y look approximately linear? O Yes, the relationship looks approximately linear. 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 800- 600 400 200- 10 20 30 y 800 600- 400- 200 20 30 40 (c) Are the assumptions of the simple linear regression model reasonable? Justify your answer using appropriate graphs. Yes, the assumptions are reasonable and the linear pattern in the standardized residual plot confirms it. No, the assumptions are not reasonable and the linear pattern in the standardized residual plot confirms it. 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 curved pattem in the standardized residual plot confirms it. 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.) 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 H. 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.

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. 22 487 36 748 2 81 28 581 5 117 32 728 23 445 10 128 4 61 26 476 1 35 8 121 13 266 9 126 5 141 (a) Construct a scatterplot of the data. 800- 600- 400- 200- 10 20 30 800- 600- 400- 200- 10 20 30 Does the relationship between x and y look approximately linear? O Yes, the relationship looks approximately linear. 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 800- 600 400 200- 10 20 30 y 800 600- 400- 200 20 30 40 (c) Are the assumptions of the simple linear regression model reasonable? Justify your answer using appropriate graphs. Yes, the assumptions are reasonable and the linear pattern in the standardized residual plot confirms it. No, the assumptions are not reasonable and the linear pattern in the standardized residual plot confirms it. 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 curved pattem in the standardized residual plot confirms it. 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.) 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 H. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 3CYU

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