Study on Comparison of LSAT, SAT Verbal and SAT Math

Question

A professor wants to analyze the relationship between his students’ LSAT practice scores and their Verbal SAT and Math SAT scores from high school. The table below represents 15 randomly selected students’ raw scores on the various standardized tests.

 
Student     LSAT    SAT Verbal    SAT Math       
     1          476          101              68       
     2          457           92               46       
     3          540           90               50       
     4          551         107               59       
     5          575          98                50       
     6          698         150               66       
     7          545         118               54       
     8          574         110               51       
     9          645         117               59       
    10         690         114               80       
    11         634         130               57       
    12         637         118               51       
    13         390           91              44       
    14         562         118               61       
    15         560         109               66    
        
a) Construct a regression equation for forecasting LSAT scores, based on the student’s respective Math and Verbal SAT scores.
b) Is the regression significant? Why or why not? (Provide evidence.)
c) Apply the regression to predict an LSAT score if a student’s Math score was 55 and their Verbal score was 128.
d) Find the 95% confidence interval for the predicted LSAT score from c).
e) Apply the regression to predict an LSAT score if a student’s Math score was 40 and their Verbal score was 170.
f) Obtain and interpret the coefficient of determination.
g) Do all independent variables contribute significantly to the regression at the 0.05 level of significance?
h) Are there any issues of collinearity with the model, Yes or No? Provide evidence to substantiate your decision.

Summary

This question belongs to Statistics and it is a study about comparing LSAT, SAT Verbal and SAT Math scores for 15 randomly selected students. Various questions such as regression, collinearity, etc have been answered in the solution in detail.

Total Word Count 467

 

Download Full Solution

Comments

  • HWA
    Rasha

    this is a very good website

  • HWA
    maani

    I have 50 questions for the same test your page is showing only 28

  • HWA
    joeanne

    hi can you please help or guide me to answer my assignments. thanks

  • HWA
    joeanne

    hi can anyone help or guide me to my assignments. thanks

  • HWA
    Monik


  • HWA
    Cristina

    This solution is perfect ...thanks

  • HWA
    Janete

    Hello Allison,I love the 2nd image that you did! I also, had never heard of SumoPaint, is something that I will have to exolpre a bit! I understand completely the 52 (or so) youtube videos that you probably watched. Sometimes they have what you want, sometimes they don't! However, it is always satisfying when you are able to produce something that you have taught yourself. Great job!Debra 0 likes

  • HWA
    Sandeep

    Perfect bank of solution. 

  • HWA
    Oxana

    great !

  • HWA
    Paul Brandon-Fritzius

    thanks for the quick response. the solution looks good. :)

  • HWA
    tina Johnson

    thnx for the answer. it was perfect. just the way i wanted it. 

  • HWA
    Giuseppe

    works fine.