The data in file ‘TestScores.sav’ were collected on 200 university students and are scores on various tests, including Algebra, Statistics, Reading and General studies (genstd). The variable Gender is a dichotomous variable coded 1 if the student was female and 0 if male.

Using this data, answer the following:

a. If you want to display variability in scores on Statistics test for different groups (races), which graph you will utilize? Show your output graph below:

b. Are there any outliers in the graph? If yes, list the case number/s and group/s.

c. Which group exhibits the maximum variation in Statistics scores?

d. Which group exhibits the minimum variation in the Statistics scores?

e. By visually inspecting the data through this graph, can you identify the group having highest mean on Statistics score? If yes, name it.

f. To analyze if there is an impact of Reading scores, Statistics scores, General Studies scores, and Gender on the Algebra scores, which statistical technique you will utilize?

Run the analysis:

g. Is this model significant? Report the F & P values.

h. Which variables are significant predictors of the Algebra scores? Report P values.

i. What is the value of intercept or constant?

j. What is the regression equation?

k. What is the value of R-squared for this model? Interpret it.

l. Provide interpretation of all the unstandardized ‘B’ coefficients.

a. ______

b. ______

c. ______

d. ______

m. What is the predicted Algebra score for a female student with a score of 70 on Reading, 80 on Statistics, and 80 on General Studies?

n. Regression Diagnostics: (Show graphs and interpret these.)

a. Multicollinearity

b. Homoscedasticity

c. Normality

d. Report Durbin Watson Statistics and state what this indicates.

o. Comment on the validity of the model, in other words, can we generalize this model?