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linear_regression_hw_2015.sav_.docxLinear Regression HW Name__________________________________
Standardized test score have long been a main factor in the college admissions game with some Universities giving more weight to standardized test score as opposed to high school GPA to determine admission. A high school guidance counselor decided to assess if high school GPA was a better predictor of college GPS than the combined SAT score. Additionally, the guidance counselor wanted to create a model to predict University GPA from the single best predictor variable. The counselor collected data from 104 of her past students who had graduated from both high school and college. She recorded their High School GPA, University GPA, and their SAT Scores broken down into Math and Verbal scores. The data for this study can be found in Linear Regression HW Data Set 2015.
**Rename the predicted variable to include your name. Write/Type your name on this HW document.
Copy and Paste all output tables and graphs at the end of this document. Included should be:
Correlations Table (one table with all variables)
Scatter Plot for linear assessment (selected predictor vs predicted)
Scatter Plot ZRESID VS ZPRED
Histogram of Standardized Residuals
P-P Plot of Standardized Residuals
Casewise Diagnostics Table (If outliers are present)
Variables Entered/Removed
Model Summary
ANOVA
Coefficients
Write the Null Hypotheses for this study: (Read the scenario to determine these.)
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Write the research Hypotheses for this study: (Read the scenario to determine these.)
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What test will you select to determine which variable will be the best predictor of University GPA?
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What test will you select to create a predictor model for University GPA from the selected variable?
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Of the four variables, HS GPA, SAT Math, SAT Verbal, and Combined SAT, which would be the best predictor of University GPA? ______________________________________________________
(You have been given HS GPA, SAT Math, and SAT Verbal. You do not have Combined SAT Score. You must generate this variable.)
Using information from the SPSS output, how did you determine this? __________________
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Identify the Independent Variable______________________________________________________
Identify the Dependent Variable _______________________________________________________
Assumptions:
Is the relationship between the variables linear? _________________________________________
Are there Outliers present in the data? _________________________________________________
Was there independence of observations? ______________________________________________
What Test did you use to assess this assumption? __________________________________
What was the value of this test statistic? _________________________________________
Was homoscedasticity present? _______________________________________________________
What did you use to test for this assumption? _____________________________________
Were the residuals normally distributed? _______________________________________________
What did you use to test for this assumption? _____________________________________
The Test:
ANOVA:
What was the value of the F-ratio? ______________________________________________________
Was this significant? __________________________________________________________________
What does this significance infer? _______________________________________________________
Find the regression line for predicting university GPA from the chosen variable.
What is the slope? _________________________________________________________________
What is the y-intercept? ____________________________________________________________
What is the predictor equation? ______________________________________________________
Given the following information, HS GPA = 2.2, SAT Math = 560, SAT Verbal = 510, SAT combined =
1070, predict the University GPA. (You will select the variable information that corresponds to the
selected predictor variable. Show work. _______________________________________________
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The University GPA of one of the students was 3.6. What was their value of the chosen predictor
variable? Show work. _____________________________________________________________
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How much of the variation in University GPA is explained by the predictor variable? _______________
How was this calculated? _______________________________________________________________
Create the final write up for this study. Include all analysis information. Make a final statement regarding the Null Hypothesis and the Research question. ______________________________________
