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.XO24234 74628542632 728123 445810 128y800y6004854002008158113 266y1179 1268005 141(a) Construct a scatterplot of the data.6004002006147635121LC8102030102030X40 i40 AyDoes 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.80060040020010y800%600t400200102020303040XⓇ40 Ⓡ 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 youranswer 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.

Question

Accepted Answer

Given data:

x
y

24
485

34
746

2
81

28
581

5
117

32
728

23
445

10
128

4
61

26…