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Problem 1.
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Ans : C.
Explanation
Based on the definition of linear correlation coefficient.
Problem 2.
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Ans : B.
Explanation: See the the following table.
Problem 3.
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Ans : B.
Explanation: The definition of regression model.
Problem 4.
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Ans : A.
Explanation: The definition of regression model.
Problem 5.
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Ans : B.
Explanation: This relationship is true in simple linear regression.
Problem 6.
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Ans : D.
Explanation: The interpretation of the slope of regression model
Problem 7.
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Ans: C.
Explanation: The direction of correlation is reflected in the sign coefficient of correlation. However, coefficient of determination is the square of the correlation coefficient. It does not carry the information about the sign of the correlation.
Problem 8.
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Ans: B.
Explanation: The sqaure root of coefficient determination only gives the magnitude of the correlation coefficient, but not the direction.
Problem 9.
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Ans: A.
Explanation: A positive association implies that as one variable increases, the other variable also increases. This also means the slope in the corresponding regression model is also postive.
Problem 10.
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Ans: A.
Explanation: Since the all divisions have the same intercept. THe predictied difference is simply equal to the slope times the difference of the price, that is, 7.25 x 30000 = 217500.
Problem 11.
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Ans: A.
Explanation: Since slope is equal to zero inplying no linear relationship.
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