STATISTICAL TECHNIQUES AND TOOLS
REGRESSION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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When r=0 the regression lines are
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coincident
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perpendicular
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parallel
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none of these
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Explanation:
Detailed explanation-1: -If the correlation coefficient r xy = 0, then the two lines of regression are perpendicular to each other. If the correlation coefficient r xy = + 1, then the two lines of regression are parallel to each other. Hence, r = 0.
Detailed explanation-2: -If the two variables are completely out of correlation then the correlation coefficient is 0. If the two regression lines are perpendicular to each other, there is no correlation between the two regression lines.
Detailed explanation-3: -If the estimated slope b1 of the regression line is 0, then the correlation coefficient r must also be 0.
Detailed explanation-4: -The angle between two regression line is 90^o then r = 0, where r is correlation coefficient.
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