A researcher collected data on people's heights and their shoe sizes from 500 people (N=500). Then, she convert the two variables (X-: heig ht, Y: shoe size) to standard scores before computing regression constants and the correlation coefficient between the two variables. The correlation coefficient (from the standardized scores) was found to be r = .37. Which of the following statements is CORRECT? Oa. Although the correlation coefficient is positive (r=.37), the regression slope can be negative O b. If the correlation coefficient was computed from raw scores, it will not be r=.37 Oc. The regression slope (from the standardized scores) is the same as the correlation coefficient (r=.37) Od. The Y-intercept (from the standardized scores) is the same as the correlation coefficient (r=.37)
A researcher collected data on people's heights and their shoe sizes from 500 people (N=500). Then, she convert the two variables (X-: heig ht, Y: shoe size) to standard scores before computing regression constants and the correlation coefficient between the two variables. The correlation coefficient (from the standardized scores) was found to be r = .37. Which of the following statements is CORRECT? Oa. Although the correlation coefficient is positive (r=.37), the regression slope can be negative O b. If the correlation coefficient was computed from raw scores, it will not be r=.37 Oc. The regression slope (from the standardized scores) is the same as the correlation coefficient (r=.37) Od. The Y-intercept (from the standardized scores) is the same as the correlation coefficient (r=.37)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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Transcribed Image Text:A researcher collected data on people's heights and their shoe sizes from 500 people (N=500). Then, she convert the two variables (X-: heig
ht, Y: shoe size) to standard scores before computing regression constants and the correlation coefficient between the two variables. The
correlation coefficient (from the standardized scores) was found to be r = .37. Which of the following statements is CORRECT?
a. Although the correlation coefficient is positive (r=.37), the regression slope can be negative
O b. If the correlation coefficient was computed from raw scores, it will not be r=.37
O c. The regression slope (from the standardized scores) is the same as the correlation coefficient (r=.37)
Od. The Y-intercept (from the standardized scores) is the same as the correlation coefficient (r=.37)
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