Associations Among Variables in the Chicago Public Schools Progress Report

This report examines the associations between nine variables from a subset of school level performance data from the Chicago Public Schools Progress Report. The variables include scores that are measures of safety, family involvement, teachers, parent engagement, parent environment, the rate of misconducts per 100 students, graduation rate, environment, and instruction. A correlation matrix shows the associations between each pair.

Variables with Strong, Positive Associations

Most pairs have a positive association. The two variables with the strongest, positive association are instruction and environment (r=.90), as found in the above correlation matrix. The following plot further supports the evidence of a strong, positive association.

The linear model for this relationship is: \(y = 1.113X - 9.146\).

Another strong, positive association is found between family involvement and safety (r=.77).

The linear model for the relationship between family involvement and safety is: \(y = 0.6595X + 18.3084\).

Variables with Negative Associations

A few of the variables have negative associations with each other. The pair with the strongest, negative association is rate of misconduct per 100 students and safety (r= -.62). The negative association is seen in the plot below.

The linear model for the relationship between the rate of misconduct and safety is: \(y = -0.4161X + 35.2307\).

The variables that have the next strongest, negative association are family involvement and rate of misconducts. The association is moderate and negative (r= -.46). The following plot shows this relationship.

The linear model for this relationship is: \(y = -0.5952X + 61.0756\).

Works Cited

The data used in this report was compiled from the data available at https://data.cityofchicago.org/.

A fix for code was found at https://stackoverflow.com/questions/62635689/how-can-i-get-rid-of-the-comment-from-geom-smooth-in-rmd