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 a histogram of leverages for this regression:
Without doing any calculating,how would you expect the coefficient and t-statistic of English to change if we were to omit the 6 highest leverage points?

Question

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 a histogram of leverages for this regression:  
Without doing any calculating,how would you expect the coefficient and t-statistic of English to change if we were to omit the 6 highest leverage points?

Quizplus · Accepted Answer

The Answer of 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 a histogram of leverages for this regression:  
Without doing any calculating,how would you expect the coefficient and t-statistic of English to change if we were to omit the 6 highest leverage points?

A Math Professor Is Trying to Determine If Her Students