1. A researcher wants to predict graduate-school grade point average (GPA) from
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Question
1. A researcher wants to predict graduate-school grade point average (GPA) from GRE verbal scores (which is what the pesky GRE is supposed to do, anyway!). She gathers data on fifty graduate students. Below are the data "high points":
A). Given a score of 400 on the GRE verbal test, what GPA would you predict? (2 points)
B). Given a score of 580 on the GRE verbal test, what GPA would you predict? (2 points)
C). Calculate the standard error for the predicted GPA for 1B. (2 points)
D). 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 your calculations in 1B and 1C mean? (4 points)
E). Given a score of 710 on the GRE verbal test, what GPA would you predict? (2 points)
F). If you notice anything funny about your answer to 1E, please explain. (2 points)
2. A researcher examines the correlations between mental health and three other measures—income, age, and number of major physical illnesses. The correlations are .24, .18, and –.47, respectively.
A). Which variable will produce the best prediction of mental health? (2 points)
B). Which variable will produce the least accurate prediction of mental health? (2 points)
3. Wayne has just taken a statistics test (Test A). He is disappointed because he did rather poorly—he got the lowest score in the class. His instructor gives him the option of taking another test over the same material (Test B). The instructor also knows that the correlation between Test A and Test B is .30 (which is rather low).
A). Would you encourage Wayne to take Test B? What statistical reasons can you provide for your recommendation? (2 points)
Explanation / Answer
We are allowed to do 1 question at a time. Post again for second question.
2) a) The correlation between mental health and number of major physical illnesses is the highest (47%) and thus this wil produce the best prediction.
b) The correlation between mental health and age is the lowest (18%) and thus this wil produce the least accurate prediction.
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