Question

In: Statistics and Probability

Critical Thinking Use the data set which shows student grades and the number of homework assignments...

Critical Thinking Use the data set which shows student grades and the number of homework assignments missed. You can use the pivot table feature in excel to make a crosstabulation or contingency table as a first step. Choose the best statement below.

Grades and homework data, click here https://drive.google.com/file/d/1nDzzuY-pXeRqisc9sKpuKfXOMHXkBeLv/view?usp=sharing

A. Passing the class appears to be strongly and negatively related to the number of missed homeworks. The probability of not passing the class is fairly low for students that turn in all homework assignments, moderate for students that miss one assignment and quite large for students that miss more than two assignments.

B. There appears to be only a weak relationship between the number of missed assignments and the grades.

C. Missing a homework assignment is a strong predictor of not getting an exceeds expectations grade (A or B). For student that miss one homework assignment the probability of getting an A or B is extremely small.

D. The conditional probability of missing at least one homework assignment given that a student got a C suggests that it is more likely than not that a student with a C missed at least one assignment and this is an indicator that missing a homework assignment or more increases a student's probability of getting a C.

Solutions

Expert Solution

Contingency Table

Missing Homework Assignments rowwise total
ECN221 Grade 0 1 2 3 4 5 6 7 8 9 10 11
A 0 7 2 6 5 20
B 0 42 22 12 16 5 7 104
C 0 61 44 18 8 30 18 7 16 202
D 0 12 6 6 12 5 6 8 9 10 74
E 0 8 18 24 32 25 14 24 27 30 22 224
columnwise total 0 130 92 66 68 70 24 28 48 36 40 22 624

C.

Missing a homework assignment is a strong predictor of not getting an exceeds expectations grade (A or B). For student that miss one homework assignment the probability of getting an A or B is extremely small. This is best statement.Reason has been given below

For student that miss one homework assignment the probability of getting an A or B is equal to 0.0785[(7+42)/624].

For student that miss one homework assignment the probability of not getting an A or B is equal to 0.925. Therefore missing a homework assignment is a strong predictor of not getting an exceeds expectations grade (A or B).

This answer can be well-judged by Interval Plot of Missing Homework Assignment vs ECN221 Grade which has been given below :

orchestra answered 2 years ago
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