1. Suppose an algebra professor found that the correlation between study time (i
ID: 3312279 • Letter: 1
Question
1. Suppose an algebra professor found that the correlation between study time (in hours) and test score (out of 100) is r = .80, and the regression equation was found to be: Predicted test score = 20 + 4(study time). The algebra professor arrived at this equation through years of collecting data on his students, all of whom reported studying anywhere from 0 to 20 hours for his tests. For which values of study time does the professor’s regression equation make sense in terms of predicting test scores? a. Between 0 and 20 hours.
b. Between 0 and 100 hours.
c. Anything greater than or equal to 0 hours.
d. It is not possible to predict test score with study time.
Explanation / Answer
Given that,
the correlation between study time (in hours) and test score (out of 100) is r = .80, and the regression equation was found to be: Predicted test score = 20 + 4(study time)
The algebra professor arrived at this equation through years of collecting data on his students, all of whom reported studying anywhere from 0 to 20 hours for his tests.
That is for any hour of study time is between 0 and 20 hours does the profeassor's regression equation make sense in terms of predicting test scores.
Therefore,
Answer: a) Between 0 and 20 hours.
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