GPA
the Following Table Shows the Grade Point Average (GPA)for

question 132

Short Answer

GPA
The following table shows the grade point average (GPA)for 5 students along with their entrance exam scores for MBA programs (GMAT).Develop a model that would predict the GPA of a student based on their GMAT score.
$$\begin{array} { | c | c | c } \hline \text { Student } & \text { CPA } & \text { GMAT } \\\hline 1 & 3.5 & 6.7 \\\hline 2 & 3.1 & 5.4 \\\hline 3 & 3.2 & 4.8 \\\hline 4 & 4.0 & 7.0 \\\hline 5 & 3.6 & 5.9 \\\hline 6 & 3.2 & 5.2 \\\hline 7 & 3.7 & 7.2 \\\hline\end{array}$$
-A simple linear regression problem produced the following sum of squares: $\sum \left( y _ { i } - \bar { y } \right) ^ { 2 }$ = 240, $\sum \left( y _ { i } - \hat { y } _ { i } \right) ^ { 2 }$ = 60, $\sum \left( \hat { y } _ { i } - \bar { y } \right) ^ { 2 }$ = 180
What percentage of the variation in y is not explained by the regression line?

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