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