II. 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. b. asked Oct 1, 2016 in Statistics by Lauren. a. c. The x-variable explains 50% … Hence, kP = wAkA + wBkB = 0.5(10%) + 0.5(12%) = 11%. It can range from 1 to 1. b. A correlation of 1 indicates a perfect cause-and-effect relationship between the variables. Which of the following statements are correct? For example, a value of 0.2 shows there is a positive correlation … Its square is the coefficient of determination. c. It measures the percent of variation explained. A.The correlation coefficient measures the strength of the linear relationship between two numerical variables. The extension of the idea of correlation to fuzzy environments is of great interesting. The correlation coefficient is a unit less number and must always lie between –1.0 and +1.0, inclusive. It would have a value ranging from -1 to +1. 15. The strength of the relationship varies in degree based on the value of the correlation coefficient. The correlation coefficient and the slope of the regression line may have opposite signs. a. A: If the linear correlation coefficient for two variables is zero, then there is no relationship between the variables. If X and Y have positive correlation coefficient, when we run a regression analysis Y=a+bX+e, we will find b positive. Correlation coefficients can range from +1.00 to –1.00. Which of the following statements regarding the correlation coefficient is NOT true? The correct statements are as follows: Correlation coefficients are used to measure the strength, like weaker or stronger relationship between two variables. A correlation of +1.00 means that the rates of return for these two investments move exactly together. B.A value of 0.00 indicates that the two variables are perfectly linearly correlated. The statement tha is correct concerning correlation coefficients would be that a correlation of +.89 and -.89 are both strong and equal. Which of the following statements concerning the linear correlation coefficient are true? The x-variable explains 25% of the variability in the y-variable. Which of the following statements concerning the linear correlation coefficient are true? The value of a correlation is reported by a researcher to be r = −0.5. A correlation coefficient is a value that measures dependence and correlation between variables. I think the correct answer would be the second option. I: If the linear correlation coefficient for two variables is zero, then there is no relationship between the variables. The alpha-cuts of fuzzy sample correlation coefficient are first derived at various alpha-values. The x-variable explains −25% of the variability in the y-variable. Which of the following statements is not correct regarding the coefficient of correlation. d. It is a measure of the association between two variables. Which of the following statements is correct? C.Outliers may reduce the reliability of a correlation coefficient. The aim of this work is to elucidate the test of hypothesis concerning correlation coefficient with fuzzy data. Correlation coefficients are indicators of the strength of the linear relationship between two different variables, x and y. A positive value indicates a strong correlation between the two variables; a negative value indicates a week correlation between the two variables. II: If the slope of the regression line is negative, then the linear correlation coefficient is negative. Value of the variability in the y-variable of 0.00 indicates that the rates of for. The variability in the y-variable, inclusive the association between two numerical variables a correlation of +.89 and are. 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