Use the Definition of a Logarithm to Prove

question 4

Multiple Choice

Use the definition of a logarithm to prove . Hint: Let and . Then, and .

• A) Let and so that and . Then and by definition, ; that is .
• B) Let and so that and . Then and by definition, ; that is .
• C) Let and so that and . Then and by definition, ; that is .

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Definitions:

Regression Equation

An equation that describes the relationship between independent variables and a dependent variable, often used to predict the latter from the former.

SSE

Stands for Sum of Squared Errors, a measure of the variation or dispersion of data points around a regression line or mean.

SST

Often refers to the Total Sum of Squares, which is a measure used in statistical analysis to quantify the variation within a set of observations.

Linear Regression

A statistical method that models the relationship between a dependent variable and one or more independent variables by fitting a linear equation to observed data.