ISOM 201 Chapter 4
There are only one question in this homework. Have to finish in excel sheet. Homework 2 chapter 4
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Generate three excel sheet and name them Model 1, Model 2, and response sheet
Solve the following problem in the excel and answer all the section in response sheet and highlight in model 1, model 2 sheet if necessary
Specify each section by the related letter in excel cell you are responding
Use only 2 decimal digit in responses
Save the file with your name and Submit only one file (10 Points)
A sample of nine public universities and nine private universities was taken. The total cost for the year (including room and board) and the median SAT score (maximum total is 2400) at each school were recorded. It was felt that schools with higher median SAT scores would have a better reputation and would charge more tuition as a result of that. The data are in the attached excel file. Run the regression one time with Total cost as dependent variable and Median SAT as independent variable and name it Regression model 1 and Run regression for the second time with Total cost as dependent variable and Median SAT and Dummy variable as independent variables and name it Regression model 2.
a)Write the predicted regression equation and highlight it for both models
b)High light the r2 and explain it for both models
c) Which model is a better model based on Adjusted R2? Why Adjusted R2 and not R2 ?
d)Highlight Significance F and explain it for both models
e)Highlight the p-value and discuss if independent variables are significant or not for both models
f)Discuss the sign of the co-efficient for both models and compare them.
g)Generate Residual vs fitted value for the regression model 1 and interpret it
h) Generate Normal Probability Plot for regression model 1 and interpret it
Hint: Dummy variable gets the value of 0 for public universities and1 for private universities.
Total Cost ($) |
Median SAT |
Dummy |
|
University 1 |
21700 |
1990 |
Public |
University 2 |
15600 |
1620 |
Public |
University 3 |
16900 |
1810 |
Public |
University 4 |
15400 |
1540 |
Public |
University 5 |
23100 |
1540 |
Public |
University 6 |
21400 |
1600 |
Public |
University 7 |
16500 |
1560 |
Public |
University 8 |
23500 |
1890 |
Public |
University 9 |
20200 |
1620 |
Public |
University 10 |
30400 |
1630 |
Private |
University 11 |
41500 |
1840 |
Private |
University 12 |
36100 |
1980 |
Private |
University 13 |
42100 |
1930 |
Private |
University 14 |
27100 |
2130 |
Private |
University 15 |
34800 |
2010 |
Private |
University 16 |
32100 |
1590 |
Private |
University 17 |
31800 |
1720 |
Private |
University 18 |
32100 |
1770 |
Private |