$\text { Find the function } y = f ( t ) \text { passing through the point } ( 0,15 ) \text { with the first derivative }$

question 3

Multiple Choice

$\text { Find the function } y = f ( t ) \text { passing through the point } ( 0,15 ) \text { with the first derivative }$ $\frac { d y } { d t } = \frac { 1 } { 4 } t .$

• A)\(y ( t ) = \frac { t ^ { 2 } } { 8 } + 15\)
• B) \(y ( t ) = 8 t ^ { 2 } + 15\)
• C) \(y ( t ) = 4 t + 15\)
• D) \(y ( t ) = \frac { t ^ { 2 } } { 4 } + 15\)
• E) \(y ( t ) = \frac { t } { 4 } + 15\)

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Definitions:

Normal Distribution

A probability distribution demonstrating symmetry around the mean, indicating that data points close to the mean occur more often than those far from it.

Multiple Regression

A mathematical method that depicts how a dependent variable is connected to two or more independent variables.

Variance Inflation Factor

A measure that quantifies the extent of multicollinearity in regression models, indicating how much the variance of an estimated regression coefficient is increased.

R Square

A statistical measure of how close the data are to the fitted regression line, reflecting the proportion of the variance in the dependent variable that is predictable from the independent variable(s).