Pregunta
5 Select the statement which correctly completes the sentence
“The effect of a
transformation is to …”
A stretch the higher
values in the data
B maintain the distance between values
C stretch the lower
values in the data
D compress the higher
values in the data
E reverse the order of the values in the data
“The effect of a
A stretch the higher
B maintain the distance between values
C stretch the lower
D compress the higher
E reverse the order of the values in the data
Ask by Fleming Crawford. in Australia
Mar 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The correct statement is D: compress the higher
values in the data.
Solución
- A logarithmic transformation converts the data according to
. - Because the logarithm is a nonlinear function with a decreasing rate of change as
increases, differences between large values become relatively smaller. - Therefore, when applying a
transformation, the higher values are compressed, while the lower values are stretched.
Thus, the correct completion is:
D compress the higher
values in the data.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Extra Insights
When you apply a
transformation, it effectively compresses the higher
values and stretches out the lower values. This means that larger values have a reduced effect on the results, making it easier to see patterns, especially in datasets with a wide range of values.
Essentially, the logarithmic transformation helps to stabilize variance and make data that might be skewed more normally distributed, which is particularly useful in many statistical analyses. This approach is often utilized in fields like economics and biology to better visualize and interpret data trends.

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