Question: 11.1 Suppose that you are analyzing a data set consisting of a random sample of students who were selected from a random sample of schools,

11.1 Suppose that you are analyzing a data set consisting of a random sample of students who were selected from a random sample of schools, and you would like to predict whether a given student will achieve proficiency in reading based on the student’s school attendance (e.g., number of days attending school in the past academic year).

a. Conceptually, how would you decide whether to fit a random intercept or a random slope model to predict the probability of being proficient in reading from attendance?

b. Write out the model with a random intercept only (i.e., fixed slope). Explain, conceptually, what each parameter in the model represents.

c. Write out the model with a random intercept and a random slope (for attendance).

Explain, conceptually, what each parameter in the model represents

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