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While the median income is a decent proxy for predicting academic achievement is does not fully explain the the results experienced. The pattern of residuals as a result of the regression show spatial where the regression model is not fully explaining the results. By comparing where the residuals are statistically significant using hotspot analysis, a spatial pattern for income's description of academic achievement is created which may be be used to compare the three different measures of academic achievment together. As seen in the gouping analysis map, the majority of school catchments follow the initial hypothesis for the relationship between the different measures of academic achievment. This, however, also means that there were areas with a relationship between the different forms of academic achievement where the existing relationship did not support the hypothesis. This may mean that the gender gap measures may move independently of eachother such that a high gender gap in one subject does not necessarily predict a high gender gap in another subject. These results may suggest that gender gaps for specific subjects can change do to different variables separately from average exam mark which means that when attempting to decrease gender gap, different methods than those that affect overall grade may need to be used. 

Conclusions

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