QM662 The University of Alabama Statistics Exam Questions

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• See the plots on the next page labeled a and b.For each, identify the existence of the following for each plot if applicable.(5 ea.)
• We would conclude that the overall model (using all three explanatory variables) is statistically significant at the .05 level.(3)
  • We should perform partial t-tests.(True / False)(2)
  • Which of the variables are significant predictors?(4)
• The most useful predictor in the presence of the other explanatory variables is __________.(2)
• Multicollinearity is(3)
  • severe.
  • mild.
  • nonexistent.
• Which of the following combinations would be expected to yield the highest pay?Values are years, GPA, and score.(3)
  • 5, 3.7, 80
  • 7, 3.2, 85
  • 8, 3.6, 85
  • 5, 3.8, 85
• The percentage of variation in salary explained by the three x-variables is ______.(3)
• The model in Summary Output 2 uses only entrance score to predict salary.
  • The sample slope = ________.(2)
  • The sample intercept = ________. (2)
  • The correlation is __________.(positive or negative)(2)
  • The percentage of variation in salary explained by score is ____. (2)
  • This a useful model.(True / False) (3)

Linear relationship

Outlier(s)

High-leverage case(s)

Negative relationship

a.

b.

Please refer to the attached regression output.Here we are using years of experience, college GPA, and company entrance score to predict employee salaries at a local firm.

1. true
2. false