Question 1032344: If the equation of the regression line between two variables x and y is given by the equation (y-hat) = 2 - 3.1x for values of x between 1 and 10, and the correlation coefficient r = -0.92 consider the following statements and identify which are true.
I) 92% of the variation in y is explained by the x variable
II) Indications are there is a strong negative correlation between y and x
III) Indications are there is a strong positive correlation between y and x
IV) If x = 5, one would estimate y = -13.5
A. Only I and IV are true
B. Only I, II, and IV are true
C. Only I, III and IV are true
D. Only II and IV are true
E. Only III and IV are true
Found 2 solutions by stanbon, robertb:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! If the equation of the regression line between two variables x and y is given by the equation (y-hat) = 2 - 3.1x for values of x between 1 and 10, and the correlation coefficient r = -0.92 consider the following statements and identify which are true.
I) 92% of the variation in y is explained by the x variable
II) Indications are there is a strong negative correlation between y and x
III) Indications are there is a strong positive correlation between y and x
IV) If x = 5, one would estimate y = -13.5
A. Only I and IV are true
B. Only I, II, and IV are true
C. Only I, III and IV are true
D. Only II and IV are true
E. Only III and IV are true
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Ans: B
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Cheers,
Stan H.
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Answer by robertb(5830)  (Show Source):
You can put this solution on YOUR website! B is incorrect. The correct answer is D.
The level of variation in the values of the dependent variable (here it is y) explained by independent variable (here it is x) is given by the coefficient of determination  , which in this case is NOT 92%, but  , or 84.64%.
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