7. Transformations. In some data sets, a transformation by some mathematical function applied to the original data, such as √√y or log y, can result in data that are simpler to work with statistically than the original data. To illustrate the effect of a transformation, consider the following data, which represent cycles to failure for a yarn product: 1150 2000 100 3650 175 290 375 675 Transform the data in 2 significant figures by taking the common logarithms of the eight values (example: log 675 = 2.8). Calculate the standard deviation of these transformed data. Express your answer in 2 significant digits.
7. Transformations. In some data sets, a transformation by some mathematical function applied to the original data, such as √√y or log y, can result in data that are simpler to work with statistically than the original data. To illustrate the effect of a transformation, consider the following data, which represent cycles to failure for a yarn product: 1150 2000 100 3650 175 290 375 675 Transform the data in 2 significant figures by taking the common logarithms of the eight values (example: log 675 = 2.8). Calculate the standard deviation of these transformed data. Express your answer in 2 significant digits.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2CYU
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Question
![7. Transformations. In some data sets, a transformation by some mathematical function
applied to the original data, such as √y or logy, can result in data that are simpler to
work with statistically than the original data. To illustrate the effect of a transformation,
consider the following data, which represent cycles to failure for a yarn product:
675
3650
175
1150
290
2000
100
375
Transform the data in 2 significant figures by taking the common logarithms of the eight
values (example: log 675 = 2.8). Calculate the standard deviation of these transformed data.
Express your answer in 2 significant digits.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbac24655-5c34-4228-814d-0074797aa12d%2F5e94a869-4b96-454d-bafa-f4cec8bc5c5e%2Fkanj038_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7. Transformations. In some data sets, a transformation by some mathematical function
applied to the original data, such as √y or logy, can result in data that are simpler to
work with statistically than the original data. To illustrate the effect of a transformation,
consider the following data, which represent cycles to failure for a yarn product:
675
3650
175
1150
290
2000
100
375
Transform the data in 2 significant figures by taking the common logarithms of the eight
values (example: log 675 = 2.8). Calculate the standard deviation of these transformed data.
Express your answer in 2 significant digits.
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