33.5 455 623 674 332 37.5 41.5 34.5 363 38.5 500 42.5 35.5 391 39.5 538 43.5 724 36.5 419 40.5 574

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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Allometry is the study of the relative size of different parts of a body as a consequence of growth. In this problem, you will check the accuracy of an allometric equation: the weight of a fish is proportional to the cube of its length.1 The table below relates the weight, , in gm, of plaice (a type of fish) to its length, , in cm.

Does this data support the hypothesis that (approximately) y=kx3? Yes

 

If so, estimate the constant of proportionality, k, to four decimal places. If not, enter NA in the entry area.

 

k=

33.5
332
37.5
455
41.5
623
42.5
43.5
34.5
363
38.5
500
674
35.5
391
39.5
538
724
36.5
419
40.5
574
Transcribed Image Text:33.5 332 37.5 455 41.5 623 42.5 43.5 34.5 363 38.5 500 674 35.5 391 39.5 538 724 36.5 419 40.5 574
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Plot the table in the excel sheet.

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