A Math Professor Is Trying to Determine If Her Students

question 19

Essay

A math professor is trying to determine if her students' math grades are consistent with their grades in three other courses.She has 30 students who are all taking Math,Science,English,and an Elective course.She assigns scores of 4,3,2,and 1 for each grade of A,B,C,and D,respectively.Here's a regression model to predict the math grade based on the other courses:
Dependent variable is: Math
R-squared = 84.4% R-squared (adjusted)= 82.6%
s = 0.3789 with 30 - 4 = 26 degrees of freedom

-Here is the scatterplot of externally Studentized residuals against predicted values:
Comment on what this diagnostic display indicates.

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Definitions:

Physical Strength

Refers to the maximum amount of force that a muscle or group of muscles can exert in a single effort.

Median

A statistical measure representing the middle value in a set of data, dividing it into two equal halves.

Distribution of Scores

The way in which a set of scores is spread out across the possible values, which can be depicted in a graph.

Correlation Between Two Variables

A measure indicating the extent to which two variables change together, showing the strength and direction of their relationship.