Which one of the following statements regarding the coefficient of determination is NOT correct?
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Which one of the following statements regarding the coefficient of determination is NOT correct?
a. If the correlation coefficient (r) is 0.845 then the coefficient of determination is 0.714
b. As the correlation coefficient approach zero, the coefficient of determination increases rapidly.
c. The coefficient of determination measures the proportion of changes in the dependent variable that can be explained by the independent variable.
d. The coefficient of determination will always give a result between 0 and +1.
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- For variables X and Y, the value of the coefficient of correlation is found to be -0.95. There is a.) A strong negative linear relationship between the two variables b.) A weak negative linear relationship between the two variables c.) No relationship between the two variables d.) No choice is correctthe range of values that correlation coefficients can take is only -1 to 1. True or falseFor a set of positively correlated data, you calculate that 84% of the variation in the dependent variable is explained by variation in the independent variable. What is the correlation coefficient(r)? (round to 3 decimal places)
- The following is a set of data from a sample of n =11items Complete parts (a) through left parenthesis c right parenthesis . X 6 36 27 54 21 39 24 9 39 39 33 Y 2 12 9 18 7 13 8 3 13 13 11 a. Compute the covariance. (Round to three decimal places as needed.) b. Compute the coefficient of correlation. (Do not round until the final answer. Then round to three decimal places as needed.) c. How strong is the relationship between X and Y? Explain. A. X and Y have no correlation. B. X and Y have a perfect positive correlation because all points fall on a straight line with a positive slope. C. X and Y have a perfect negative correlation because all points fall on a straight line with a negative slope. D. X and Y have a strong positive correlation because as X increases, Y tends to increase also.The following information pertains to data that have been gathered in the process of estimating a simple least-squares regression: mean value of the dependent variable 30 mean value of the independent variable 10 Coefficient of the independent variable 3 Number of observations 12 What is the "a" value for the least squares regression model?The value of a correlation is reported to be r = 0.25. How is this interpreted?
- Which of the following statements about Least Squares Regression is not true ? Least -squares regression is a mathematical technique to fit a cost -estimating equation to observed data . In least -squares regression , a statistical measure (R -squared ) can be used to determine how well the equation fits the data . Least -squares regression is considered superior to the high -low method because it uses more data points than just the high and low points None of the listed choices are the correct answer because all of the listed choices are true . Least -squares regression maximizes the vertical squared difference between the estimated and actual costs at each data point .Which of the following statement is true of a covariance matrix? a. The diagonal values are volatilities b. The non-diagonal values are covariances c. The non-diagonal values are coefficients of variations d. none of the above1. What percent of the area under the standard normal curve is within one standard deviation of (above or below) the mean? 2. What does this tell you about scores that are more than one standard deviation away from the mean?
- When NCREIF returns and REIT returns are compared, NCREIF returns exhibit a much lower pattern of variation. Why might this be the case?10-18 In regression analysis, the coefficient of determination: a. Is used to determine the proportion of the total variation in the dependent variable (y) explained by the independent variable (X). b. Ranges between negative one and positive one. c. Is used to determine the expected value of the net income based on the regression line. d. Becomes smaller as the fit of the regression line improves.Which of the following indicates that two variables tend to move in the same direction? a.negative covariance b.probability c.covariance d.positive covariance
