Basic Kinematics Variables: the Figure Shows the Position of an Object

question 9

Essay

Basic kinematics variables: The figure shows the position of an object as a function of time, with all numbers accurate to two significant figures. Between time t = 0.0 s and time t = 9.0 s
(a) what is the average speed of the object?
(b) what is the average velocity of the object?

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Definitions:

Sum Of Squared Residuals

The total value obtained by squaring each of the residuals (differences between observed and predicted values) and summing them all, commonly used in regression analysis.

Coefficient Of Determination

A measure, often represented as R^2, that indicates the proportion of the variance in the dependent variable predictable from the independent variable(s).

Linear Relationship

A relationship between two variables where the change in one variable is directly proportional to the change in another variable.

Error Variable

The error variable represents the component of randomness or unexplained variance in a statistical model, distinguishing between the observed and predicted values.