Download “Chicago_Public_Schools_ -_Progress_Report_Cards__2011- 2012_,” Chicago open data. We will assess the relationship between rate of misconduct per 100 students (response) and teachers’ score. Inference will be conducted at 5% significance.
a) Construct a scatterplot. Interpret.
b) Perform inference on significance of the model. Interpret.
c) Interpret R².
d) Find the correlation coefficient and interpret.
e) Predict misconduct per 100 students if teachers’ score is 75.How reliable do you think this prediction is?
f) Construct histogram of the residuals from the significant model. Discuss what it checks and how it looks.
g) Construct a plot of rate of misconduct per 100 students versus its model-predicted value. Discuss what it checks and how it looks.