Find the Derivative $$y = x ^ { 5 / 6 }$$

question 96

Multiple Choice

Find the derivative.
- $$y = x ^ { 5 / 6 }$$

• A) \(\frac { 5 } { 6 } x ^ { - 1 / 6 }\)
• B) \(\frac { 6 } { 5 } x ^ { 1 / 5 }\)
• C) \(\frac { 5 } { 6 } x ^ { 1 / 6 }\)
• D) \(\frac { 5 } { 6 } x ^ { - 5 / 6 }\)

Interpret the multiple coefficient of determination and its implications for model fit.

Identify variables in a regression model as categorical or continuous, and understand their role.

Understand the application of logistic regression for binary dependent variables.

Calculate and interpret degrees of freedom in regression model significance testing.

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Definitions:

Factorial ANOVA

A statistical test used to evaluate the effects of two or more independent variables on a single dependent variable, allowing for the examination of interactions between factors.

Independent Variable

A variable that is manipulated to observe its effect on a dependent variable in an experiment.

Outcome Variable

The variable that is the result of an experiment or study, often measured to assess the effect of a treatment.

Two-Way ANOVA

A statistical test used to determine the effect of two nominal predictor variables on a continuous outcome variable, testing for interaction and main effects.