Assume That Variables Represent Positive Real Numbers $\sqrt [ 7 ] { 3 y }$

question 18

Multiple Choice

Assume that variables represent positive real numbers. Replace the radical with rational exponents
- $\sqrt [ 7 ] { 3 y }$

• A) \(( 3 y ) ^ { 7 / 2 }\)
• B) \(3 y ^ { 1 / 7 }\)
• C) \(( 3 y ) ^ { 1 / 7 }\)
• D) \(\frac { 3 } { 7 } y ^ { 1 / 7 }\)

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Definitions:

Least Squares Regression

A statistical method for estimating the relationships among variables by minimizing the square differences between observed and predicted values.

Coefficient Of Determination

A measure used in statistical analysis that assesses how well a model explains and predicts future outcomes, often represented as R^2.

Correlation Coefficient

A numerical measure that quantifies the strength and direction of a linear relationship between two variables, ranging from -1 to 1, where values close to 1 or -1 indicate a strong linear relationship.

Linear Relationship

A type of relationship between two variables where the change in one variable is consistently associated with a change in the other variable in a manner that can be depicted with a straight line.