Please show caulations

1. (8 marks) Suppose a standardized test 1s given to all graduating seniors. Let denote the student's score and C denote the number of students in the student's graduating class. The estimated relationship 1s quadratic and given by = 45.6 + 0.082C 0.000147C=. a. (2 marks) Briefly explain how to interpret the intercept and 1f 1t has any practical meaning. b. (2 marks) Calculate the size of the graduating class that maximises the test score. . (2 marks) Calculate the highest achievable test score. d. (2 marks) Briefly explain whether this relationship 1s causal or correlated