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For estimating maximum value of multiple correlation, which of the following conditions should be met ? I. Independent variables should correlate high with the dependent variable. II. The Independent variables should correlate low with one another. Select the correct alternative from the following :

For estimating maximum value of multiple correlation, which of the following conditions should be met ? I. Independent variables should correlate high with the dependent variable. II. The Independent variables should correlate low with one another. Select the correct alternative from the following : Correct Answer Only condition <strong>I</strong> should be met

multiple correlation is a statistical technique that predicts values of one variable on the basis of two or more other variables. It is the correlation between the variable's values and the best predictions that can be computed linearly from the predictive variables.

The coefficient of multiple correlations takes values between .00 and 1.00; a higher value indicates high predictability of the dependent variable from the independent variables, with a value of 1 indicating that the predictions are exactly correct and a value of 0 indicating that no linear combination of the independent variables is a better predictor than is the fixed mean of the dependent variable.

 

Conclusion: Independent variables should correlate highly with the dependent variable and with one another for estimating the maximum value of multiple correlations. Hence, option (1) will be correct.

Related Questions

Which of the following statements are true? a. The correlation coefficient is dependent on the choice of both origin and scale observations. b. The correlation coefficient is dependent on the units of measurements. c. The coefficient of correlation is the square root of the coefficient of determination. d. The zero value of the correlation coefficient cannot estimate the value of the dependent variable.
Which of the following statements relating to correlation and reegression are true?
1. The coefficient of correlation is independent of change of origin and scale
2. The coefficient of correlation between the two variables is the arithmetic average of the two regression coefficients
3. The probable error of the coefficient correlation is 0.6745 times of its standard error
4. Coefficient of correlation multiplied by the ratio between the standard deviations of the two variables denotes the slope of the regression line
Select the correct answer:
Statement I The product of coefficient of correlation, standard deviation of variable 'X' and Standard deviation of variable 'Y' gives the measure of covariance between X and Y variables.
Statement II The product of coefficient of correlation between X and Y variables and the ratio between standard deviation of X variable to standard deviation of Y variable measures the slope of the regression line of X on Y variable.
Suppose, it is calculated that 'a' is 4 and 'b' is 2 for a particular estimating line with one independent Variable. If the independent variable has a value of 5, what value should be expected for the dependent variable?
Which of the following statements are true?
1. The coefficient of rank correlation has the same limits as the Karl Pearson's coefficient of correlation.
2. The coefficient of correlation is independent of the change of origin but not of scale.
3. The covariance between $$X$$ and $$Y$$ is defined as $$\frac{{\sum {xy} }}{n}$$ where, $$x = \left( {X - \overline X } \right),y = \left( {Y - \overline Y } \right)$$      and $$n = $$ no. of paired observations.
4. $${b_{xy}}$$ is called regression coefficient of $$X$$ variable on $$Y$$ variable.
5. If $${b_{xy}}$$ is 0.4 and $${b_{yx}}$$ is 1.6, coefficient of determination would be 0.8.
Select the correct answer:
If the dependent variable increases as the independent variable increases in an estimating equation, the coefficient of correlation will be inthe range:
Which of the following are not the property/ies of correlation coefficient? (A) r is independent of the choice of origin (B) r is independent of scale (C) r lies between –1 and +1 (D) r = + 1.0 indicates a perfectly negative correlation (E) r = –1.0 indicates a perfectly positive correlation Choose the correct answer from the options given below:
Suppose that we have N independent variables (X1, X2, Xn) and dependent variable is Y. Now Imagine that you are applying linear regression by fitting the best fit line using least square error on this data. You found that correlation coefficient for one of its variable(Say X1) with Y is -0.95. Which of the following is true for X1?
Three necessary and sufficient conditions that must be satisfied if traits should be unique determinants of the Leadership Index are
1.The trail quality should follow a descending order as one traverse from the highest to the lowest levels.
2. There must be a high correlation between the level of traits and the level of success.
3. The achievement trait curve should be convex to the trait axis as one travels from the low to the high trait terminals.
The above conditions have been suggested by
The value of 'A' of Indian type W.C. shown in the given figure is:
Estimating and Costing mcq question image