Linear Regression Report on Graduation Rate and Retention Rate

Economics And Quantitative Analysis
Linear Regression Report
Student’s Name
Institution Affiliation

1. Introduction
Purpose
The purpose of the report is to examine the level of association between two factors: Graduation
Rate (GR) and Retention Rate (RR). This will conducted by doing simple regression analysis
of the data of the two variables.
Background
Most students who enroll in the institutions of higher learning are failing to graduate today. It’s
has be reported that at least 305 of students who join universities and colleges drop out of
school after their first year of studies (Tinto, 2005) This has greatly affected family and
government as most students abandon studies when they have already family income,
government resources and acquired loan from government agencies. These pose big economic
issues in the country. As a result this has become a major concern for economists. The
investigation of the reason for low graduation rate among the students will play a great role. The
question how retention of student after enrollment influence graduation of students will be
examined to reveal the mystery of failure of student to make to graduation square after a
given tenor of studies.
Method
The data and methods that were employed are indicated below. The data comprise of GR and RR
of 29 different institutions of higher learning. The data was obtained from online Education
database. The methods that were used to investigate the relationship between GR and RR
include:

 Computation of the mean, standard deviation, minimum and maximum.
 Construction of the scatter diagram
 Doing simple regression analysis
These computation and analysis were done using Microsoft Excel software.
2. Results
a. Mean, Standard deviation, Minimum and Maximum
Below is a table that shows the results of the computation form excel
Statistics RR(%) GR(%)
Mean 57.41379 41.75862
Standard Deviation 23.24023 9.865724
Minimum 4 25
Maximum 100 61
Count 29 29
Results from the table above reveal that, the minimum value of Retention rate is less than that of
Graduation rate. However, RR has higher maximum value, mean and standard deviation than
GR.
b. Scatter Diagram