Reading 11: Correlation and Regression-LOS a, (Part 1)习题精选 center, interpret, 2010

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Session 3: Quantitative Methods: Quantitative
Methods for Valuation
Reading 11: Correlation and Regression

LOS a, (Part 1): Calculate and interpret a sample covariance and a sample correlation coefficient.

 

 

 

Determine and interpret the correlation coefficient for the two variables X and Y. The standard deviation of X is 0.05, the standard deviation of Y is 0.08, and their covariance is ?0.003.

A) +0.75 and the two variables are positively associated.

B) ?0.75 and the two variables are negatively associated.

C) ?1.33 and the two variables are negatively associated

土豆妮

Determine and interpret the correlation coefficient for the two variables X and Y. The standard deviation of X is 0.05, the standard deviation of Y is 0.08, and their covariance is ?0.003.

A) +0.75 and the two variables are positively associated.

B) ?0.75 and the two variables are negatively associated.

C) ?1.33 and the two variables are negatively associated.

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The correlation coefficient is the covariance divided by the product of the two standard deviations, i.e. ?0.003 / (0.08 × 0.05).

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Unlike the coefficient of determination, the coefficient of correlation:

A) indicates whether the slope of the regression line is positive or negative.

B) indicates the percentage of variation explained by a regression model.

C) measures the strength of association between the two variables more exactly.

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Unlike the coefficient of determination, the coefficient of correlation:

A) indicates whether the slope of the regression line is positive or negative.

B) indicates the percentage of variation explained by a regression model.

C) measures the strength of association between the two variables more exactly.

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In a simple linear regression the coefficient of determination (R²) is the squared correlation coefficient, so it is positive even when the correlation is negative.

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In order to have a negative correlation between two variables, which of the following is most accurate?

A) Either the covariance or one of the standard deviations must be negative.

B) The covariance must be negative.

C) The covariance can never be negative.

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In order to have a negative correlation between two variables, which of the following is most accurate?

A) Either the covariance or one of the standard deviations must be negative.

B) The covariance must be negative.

C) The covariance can never be negative.

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In order for the correlation between two variables to be negative, the covariance must be negative. (Standard deviations are always positive.)

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Which of the following statements regarding a correlation coefficient of 0.60 for two variables Y and X is least accurate? This correlation:

A) indicates a positive covariance between the two variables.

B) indicates a positive linear relation between the two variables.

C) is significantly different from zero.

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Which of the following statements regarding a correlation coefficient of 0.60 for two variables Y and X is least accurate? This correlation:

A) indicates a positive covariance between the two variables.

B) indicates a positive linear relation between the two variables.

C) is significantly different from zero.

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A test of significance requires the sample size. So this statement may or may not be true. The others are certainly true.

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Which model does not lend itself to correlation coefficient analysis?

A) Y = X + 2.

B) Y = X3.

C) X = Y × 2.

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Which model does not lend itself to correlation coefficient analysis?

A) Y = X + 2.

B) Y = X3.

C) X = Y × 2.

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The correlation coefficient is a measure of linear association. All of the functions except for Y = X³ are linear functions. Notice that Y – X = 2 is the same as Y = X + 2.