Question

You are given the data which consists of SAT math scores and University GPA at time of graduation with a four-year degree for fifteen students. Perform a regression analysis on your collected data and submit a written report. The SAT_Math column (variable) is the independent (explanatory) variable. The SAT_Univ column (variable) is the dependent (response) variable,

                           

SAT_Math	GPA_Univ
643	3.52
558	2.91
583	2.4
685	3.47
592	3.47
562	2.37
573	2.4
559	2.24
552	3.02
617	3.32
684	3.59
568	2.54
604	3.19
619	3.71
642	3.58

Your report should include the computer printout of your statistical analysis as well as a word-processed summary of your findings and conclusions. Your report should be one single file into which the software input and output are pasted. The data that you collect should be included in your report. Make sure that the following questions/items are included in your report:

             

1. Plot a scatterplot.
2. Discuss the direction of the association between the variables, the form of the relationship, and the strength of the relationship
3. Does the scatterplot show any outliers?
4. Perform a correlation analysis and discuss, i.e., find the correlation coefficient (provided by the software) and interpret it.
5. Perform a regression analysis making sure your project contains a plot of the regression line, and regression equation. Discuss these two items.
6. Use your ofund regression equation to predict the GPA_univ for a student with SAT_Math of 600.
7. What is the value (given by the software) of R-squared? What does it mean (its interpretation)?
8. Conclusion-- A summative paragraph. What are the interpretations? What are your conclusions? Are they expected or surprising? What were the difficulties encountered in carrying out this project and how were they handled?

Your project should have a front page (title and other informative items) and an abstract. Use a font size of 12, double spacing, and NEW YORK TIMES font.

Answer 1