Write the Best-Fit Linear Model for the Data $3.5$ And 40 the Following Data Were Obtained Regarding Their GPAs on in a Graduate

question 81

Multiple Choice

Write the best-fit linear model for the data.
-Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between $3.5$ and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs. The linear model for this data is $y = 3.67 + 0.0313 x$ , where $x$ is entering GPA and $\mathrm { y }$ is current GPA. Use this model to predict current GPA of a student whose entering GPA is 3.1.
\begin{tabular} { c c }
$$\begin{array}{l}\begin{array} {cc } \text { Entering GPA}&\text { Current GPA }\\ \hline 3.5 & 3.6 \\3.8 & 3.7 \\3.6 & 3.9 \\3.6 & 3.6 \\3.5 & 3.9 \\3.9 & 3.8 \\4.0 & 3.7 \\3.9 & 3.9 \\3.5 & 3.8 \\3.7 & 4.0\end{array}\end{array}$$

• A) 3.57
• B) 3.28
• C) 3.39
• D) 3.77

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Definitions:

Countries

Politically defined territories that possess their own government, laws, and sovereignty.

Educational Attainment

Refers to the number of years of school students complete.

Years Of School

The total number of years that an individual has formally attended educational institutions, including both primary and secondary education.

Legacy Factor

The influence of historical achievements or status on present circumstances, often affecting an entity's reputation, opportunities, or resources.