Question 6 Marks: 1 In a study that I conducted we were interestedto find out wh

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Question 6 Marks: 1 In a study that I conducted we were interestedto find out whether the middle school teachers' knowledge ofAmerican History depended on the number of American History classesthat they took in college. For a sample of 200 teachers we foundthe following data:

S^2 for the variance on knowledge of American History = 144
r = correlation between knowledge of Amercian History and thenumber of courses in this area = 0.60

What is the value for variance of error (S^2 e) and how do youinterpret 1 - r^2? Choose one answer. A. variance oferror is equal to 64 and 64% of the variance in knowledge ofAmerican History can be explained by the number of courses thatteachers took in American History. B. variance oferror is equal to 92 and 64% of the variance in the number ofcourses taken in Americah history can be explained by the teacher'sknowledge of American History. C. variance oferror is equal to 64 and 64% of the variance of the error can beexplained by the number of courses taken in AmericanHistory. D. variance oferror is equal to 92 and 64% of the variance in knowledge ofAmerican History is due to factors other than the number of coursesthat the teachers took in this area. Question 6 Marks: 1 Marks: 1 In a study that I conducted we were interestedto find out whether the middle school teachers' knowledge ofAmerican History depended on the number of American History classesthat they took in college. For a sample of 200 teachers we foundthe following data:

S^2 for the variance on knowledge of American History = 144
r = correlation between knowledge of Amercian History and thenumber of courses in this area = 0.60

What is the value for variance of error (S^2 e) and how do youinterpret 1 - r^2? Choose one answer. A. variance oferror is equal to 64 and 64% of the variance in knowledge ofAmerican History can be explained by the number of courses thatteachers took in American History. B. variance oferror is equal to 92 and 64% of the variance in the number ofcourses taken in Americah history can be explained by the teacher'sknowledge of American History. C. variance oferror is equal to 64 and 64% of the variance of the error can beexplained by the number of courses taken in AmericanHistory. D. variance oferror is equal to 92 and 64% of the variance in knowledge ofAmerican History is due to factors other than the number of coursesthat the teachers took in this area. In a study that I conducted we were interestedto find out whether the middle school teachers' knowledge ofAmerican History depended on the number of American History classesthat they took in college. For a sample of 200 teachers we foundthe following data:

S^2 for the variance on knowledge of American History = 144
r = correlation between knowledge of Amercian History and thenumber of courses in this area = 0.60

What is the value for variance of error (S^2 e) and how do youinterpret 1 - r^2? Choose one answer. A. variance oferror is equal to 64 and 64% of the variance in knowledge ofAmerican History can be explained by the number of courses thatteachers took in American History. B. variance oferror is equal to 92 and 64% of the variance in the number ofcourses taken in Americah history can be explained by the teacher'sknowledge of American History. C. variance oferror is equal to 64 and 64% of the variance of the error can beexplained by the number of courses taken in AmericanHistory. D. variance oferror is equal to 92 and 64% of the variance in knowledge ofAmerican History is due to factors other than the number of coursesthat the teachers took in this area. Choose one answer. A. variance oferror is equal to 64 and 64% of the variance in knowledge ofAmerican History can be explained by the number of courses thatteachers took in American History. B. variance oferror is equal to 92 and 64% of the variance in the number ofcourses taken in Americah history can be explained by the teacher'sknowledge of American History. C. variance oferror is equal to 64 and 64% of the variance of the error can beexplained by the number of courses taken in AmericanHistory. D. variance oferror is equal to 92 and 64% of the variance in knowledge ofAmerican History is due to factors other than the number of coursesthat the teachers took in this area.

Explanation / Answer

Answer from other thread, in case you check there first... r^2 = 1 - SSE / SST r^2 * SST = SST - SSE SSE = SST * (1-r^2) SSE = 144 * (1 - .6^2) = 92.16 1-.6^2 = .64 Since r^2 describes what percent of the variance in y is explainedby the variance in x, 1-r^2 describes what percent of the variancein y is NOT explained by the variance in x. Thus, the answer is C.

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