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A researcher wants to predict graduate-school grade point average (GPA) from GRE verbal scores (which is what the pesky. She gathers data on fifty...

A researcher wants to predict graduate-school grade point average (GPA) from GRE verbal scores (which is what the pesky. She gathers data on fifty graduate students. Below are the data "high points":

Independent (predictor) variable X = GRE verbal score Mean  = 520 Standard Deviation  = 90 Dependent (criterion) variable Y = GPA Mean  = 3.30 Standard Deviation  = 0.88 r = .50 (correlation between GRE verbal and GPA)

  1. Given a score of 400 on the GRE verbal test, what GPA would you predict?
  2. Given a score of 580 on the GRE verbal test, what GPA would you predict?
  3. Calculate the standard error for the predicted GPA for 1B.
  4. Imagine you are the researcher and you have to explain to a prospective student of the graduate program what you have done in 1B and 1C. How would you explain this in not-too-technical terms? In other words, what do calculations in 1B and 1C mean?
  5. Given a score of 710 on the GRE verbal test, what GPA would you predict?
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