The following regression is based on Texas schools dataset for the year of 1999. In this example, the dependent variable is the TAAS passing rate of all students (all races and all grades). The TAAS is the Texas Assessment of Academic Skills, Texas’ version of the CRCT. There are arguably five factors that can influence the TAAS passing rate, whose definitions are listed as follows.
apass: the percentage of all students in a district passing the TAAS
Independent Variables of Interest:
pctlocal: the percentage of a district’s revenue that comes from local sources
pctfed: the percentage of a district’s revenue that comes from the federal government
lowinc: the percentage of students in the district that are considered low income
pgift: the percentage of students that are in “gifted” classes
stear: student to teacher ratio (interpret as Class Size)
Use the standardized coefficients (beta) to rank the independent variables in the order of strongest relationship to weakest relationship with the TAAS passing rate.
Calculate the R2 using the output in the table labeled as ANOVA (R2=SSR/SST).
Interpret the R2.
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