A statistics professor is investigating the relationship between tutorial class size and academic performance for a first year business statistics course. She collects data on the tutorial class size (number of students) and average class mark (out of 100) for a sample of 15 classes (classsize.xlsx) Instructions Prepare a 1,200 word report that addresses the following questions:
a) Provide a descriptive analysis of the two variables.
b) Plot and describe the relation between average class mark and tutorialsize.
c) State the regression equation.
d) Interpret the meaning of the slope coefficient.
e) Interpret the meaning of the R2 value.
f) Determine whether there is a statistically significant relationship between ‘tutorial size' and ‘average mark'.
g) Predict the average mark for tutorial class sizes of 10, 15 and 20. Explain theresult.
h) Identify whether your regression analysis was affected by outliers (identify whether any of your ‘standardized residuals' are greater than three).