Instructions: Edit this document to answer the questions below in the spaces provided. Show all of your work for all calculations. Provide explanations supporting your answers as necessary.

Section 1: Questions 1-5

Dataset: Performance Index on College Questions

Variable Description Scale

Performance Index Score (0-100) on a university assessment Continuous

Female Female=1; Male=0 Binary/Categorical

Hours Studied The number of hours a student studied prior to test Continuous

Extracurriculars Does extracurriculars = 1; Does not = 0 Binary/Categorical

Hours of Sleep The number of hours a student slept prior to test Continuous

Practice Problems # of practice problems completed prior to test Continuous

Regression Model 1

Regression Analysis: Predicting Performance Index

Variable	Coefficient	Standard Error	p-value
Intercept (b0)	36.29	0.85	<.001
Hours Studied (b1)	2.77	0.07	<.001
Extracurriculars (b2)	0.91	0.36	.010
Hours of Sleep (b3)	0.54	0.11	<.001
Practice Problems (b4)	0.24	0.06	<.001

Question 1: What does the intercept coefficient (36.29) represent? Discussing the predictors in the model, describe the characteristics of the student who is predicted to earn a 36.29 on their test.

Answer here.

Question 2: According to the model, who should perform better on the test: a student who participates in extracurricular activities or a student who does not? How do you know?

Answer here.

Question 3: A student hasnt done any preparation for the questions, and now the test is tomorrow morning. According to the model, are they better off staying up all night to study or are they better off getting a good nights sleep without studying? Explain.

Answer here.

Question 4: What is the expected performance index (test score) for a student who:

- studied for 10 hours

- does not participate in extracurricular activities

- sleeps for seven (7) hours the night before the test

- completes two (2) practice problems prior to the question

Answer here.

Question 5: According to the model, who is expected to perform better on the questions: a male who studied for five (5) hours or a female who studied for five (5) hours (all other predictors held equal)? How do you know? Explain.

Answer here.