​Determine the Period and Amplitude of the Following Function​ $$y = 5 \cos \left( \frac { 5 x } { 7 } + \frac { 1 } { 3 } \right)$$

question 17

Multiple Choice

​Determine the period and amplitude of the following function​ $$y = 5 \cos \left( \frac { 5 x } { 7 } + \frac { 1 } { 3 } \right)$$ ​

• A)​Period: 16 \(\pi\) ;Amplitude: 10
• B)​Period: \(\pi\) ;Amplitude: 5
• C)​Period: 5 \(\pi\) ;Amplitude: 6
• D)​Period: \(\frac { \pi } { 2 }\) ;Amplitude: 5
• E)​Period: 8 \(\pi\) ;Amplitude: 4

Interpret the \(R^2\) value correctly in the context of regression analysis.

Know the assumptions and conditions necessary for regression analysis.

Interpret the correlation coefficient (\(r\)) and its relationship to \(R^2\).

Understand that multiple factors can influence the results of a regression analysis beyond the variables considered.

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Definitions:

Dominant Life Form

The prevailing organisms in a particular ecosystem, characterized by their extensive presence and influence on that environment.

Reptiles

Vertebrates characterized by dry skin with horny scales and adaptations for terrestrial reproduction; include turtles, snakes, and alligators; reptiles are a paraphyletic group unless birds are included.

Eons

The largest division of geological time, comprising multiple eras, and spanning hundreds of millions to billions of years, marking significant changes in the Earth's geology and biological history.

Geologic Timescale

A system of chronological dating that relates geological strata to time, used by geologists to describe the timing and relationships of events that have occurred throughout Earth's history.