It can range from 1 to 1. b. The correct statements are as follows: Correlation coefficients are used to measure the strength, like weaker or stronger relationship between two variables. a. Its square is the coefficient of determination. For example, a value of 0.2 shows there is a positive correlation … c. It measures the percent of variation explained. II. Hence, kP = wAkA + wBkB = 0.5(10%) + 0.5(12%) = 11%. It would have a value ranging from -1 to +1. asked Oct 1, 2016 in Statistics by Lauren. The alpha-cuts of fuzzy sample correlation coefficient are first derived at various alpha-values. The correlation coefficient and the slope of the regression line may have opposite signs. The strength of the relationship varies in degree based on the value of the correlation coefficient. Which of the following statements is correct? C.Outliers may reduce the reliability of a correlation coefficient. d. It is a measure of the association between two variables. I think the correct answer would be the second option. b. The correlation coefficient is a unit less number and must always lie between –1.0 and +1.0, inclusive. Correlation coefficients can range from +1.00 to –1.00. The statement tha is correct concerning correlation coefficients would be that a correlation of +.89 and -.89 are both strong and equal. If X and Y have positive correlation coefficient, when we run a regression analysis Y=a+bX+e, we will find b positive. Statement b is also correct; since the correlation coefficient is zero, the standard deviation of the portfolio must be less than the weighted average of the standard deviations of each of the component stocks. Which of the following statements regarding the correlation coefficient is NOT true? The extension of the idea of correlation to fuzzy environments is of great interesting. A correlation coefficient is a value that measures dependence and correlation between variables. Which of the following statements concerning the linear correlation coefficient are true? Which of the following statements is not correct regarding the coefficient of correlation. A correlation of 1 indicates a perfect cause-and-effect relationship between the variables. The value of a correlation is reported by a researcher to be r = −0.5. The aim of this work is to elucidate the test of hypothesis concerning correlation coefficient with fuzzy data. a. The x-variable explains −25% of the variability in the y-variable. A: If the linear correlation coefficient for two variables is zero, then there is no relationship between the variables. A positive value indicates a strong correlation between the two variables; a negative value indicates a week correlation between the two variables. B.A value of 0.00 indicates that the two variables are perfectly linearly correlated. A correlation of +1.00 means that the rates of return for these two investments move exactly together. 15. 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