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Battery life of MP3 players is of great concern to customers. A consumer group h

ID: 3153606 • Letter: B

Question

Battery life of MP3 players is of great concern to customers. A consumer group has tested four brands of such players to determine the battery life. Samples of players of each brand were fully charged and left to run at medium volume until the battery died. The number of hours that each player ran was recorded. The following graphs and tables from the analysis of the data are provided. (Note: Some entries have been omitted and replaced with **.)

A. 25.23 B. 26.13 C. 24.14 D.26.10

What is the value of the coefficient of determination, R2?

A. 0.8350 B 0.165 C 0.197 D. Not within ± 0.01 of any of the above

10.

Battery life of MP3 players is of great concern to customers. A consumer group has tested four brands of such players to determine the battery life. Samples of players of each brand were fully charged and left to run at medium volume until the battery died. The number of hours that each player ran was recorded. The following graphs and tables from the analysis of the data are provided. (Note: Some entries have been omitted and replaced with **.)


If one wanted to calculate the SST from the data, the value of the overall mean needs to be determined. Using the above information, what is the value of the overall mean?

A. 25.23 B. 26.13 C. 24.14 D.26.10

What is the value of the coefficient of determination, R2?

A. 0.8350 B 0.165 C 0.197 D. Not within ± 0.01 of any of the above

34 32 30 28 4 26 20 18- Brand A Brand B Brand C Brand D Brands

Explanation / Answer

Overall mean =[(14*24.63)+(15*27.71)+(14*24.87)+(11*27.32)]/[14+15+14+11] = 26.0957

i.e. Option D) is correct. 26.10

coefficient of determination R^2 = SSR/SST = 1-[ 543.273 / (650.295] = 0.1645

Option B) is correct.

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