Question

Using the Instructor ranking data conduct a simple linear regression to predict a student’s scores based on the number of hours the student studies and answer the following questions:

1. What is the value of the intercept of this regression equation?
2. What is the value of the slope of this regression equation and what is its interpretation within the context of this problem?
3. Write the equation for this logistic regression model
4. R² =    What does this number mean?
5. F=     Explain how F (F ratio) is calculated and what it means.  
6. Write the results in APA style.

Class Participation	Actual grade	Hours Studying	gender
1	98	5	f
2	94	5	f
3	88	4	m
4	91	4.5	f
5	93	4.1	m
6	88	3.8	f
7	88	3	f
8	85	3	m
9	82	3	m
10	66	2	m
11	71	1	f
12	61	1	m

Answer 1

The intercept is 57.8939

The slope is 7.8749. It can be interpreted as for a unit change in Hours of Study Grade increases by 7.8749 units.

Since the response is not dichotomous we can't fit logistic regression model.

R2 = 0.8737 which can be interprered as 87.37℅ variation in Grade due to study hours is explained by model.

F cal = 69.1830

Which is rati of Meas square Regression to Mean square Residual. It given idea about significance of regression model.