Without graphing, determine whether the following data set is exactly linear, approximately linear or nonlinear.
-$$\begin{array} { l | c c c c c c c c c }
\text { Age (years) } & 18 & 23 & 20 & 26 & 29 & 16 & 25 & 20 & 32 \
\hline \text { Grade Point Average } & 2.5 & 3.0 & 2.7 & 3.2 & 3.9 & 2.0 & 3.5 & 3.1 & 3.6
\end{array}$$
A) exactly linear
B) approximately linear
C) nonlinear

Question

Without graphing, determine whether the following data set is exactly linear, approximately linear or nonlinear.
-$$\begin{array} { l | c c c c c c c c c } 
\text { Age (years) } & 18 & 23 & 20 & 26 & 29 & 16 & 25 & 20 & 32 \
\hline \text { Grade Point Average } & 2.5 & 3.0 & 2.7 & 3.2 & 3.9 & 2.0 & 3.5 & 3.1 & 3.6
\end{array}$$
A) exactly linear
B) approximately linear
C) nonlinear

Quizplus · Accepted Answer

To determine the relationship between two variables without graphing, one can look for a consistent pattern of change. In this data set, as the age increases, the Grade Point Average (GPA) generally increases, but not in a perfectly consistent or proportional manner. This suggests the relationship is not exactly linear (as there's no constant rate of change), but it does show a trend that could be described as approximately linear, indicating that as one variable increases, the other tends to increase as well, albeit not at a constant rate.

Without Graphing, Determine Whether the Following Data Set Is Exactly