Find a Number Between 0 and 1 Such That the Difference

question 95

Essay

Find a number between 0 and 1 such that the difference of the number and its square is a maximum.

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Definitions:

Total Variation

In statistics, the total sum of squares that measures the overall variation within a dataset.

Demographic Variables

Characteristics of subjects that are often used to segment populations, such as age, gender, income, and education.

Significance Level

A rephrased version: The critical value that defines the cutoff for statistical significance in testing hypotheses, representing the risk of concluding a false positive.

Multiple Regression

A statistical tool that uses multiple variables as inputs to project the outcome of a related response variable.