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A relationship between variables

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11y ago

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What would a correlation of 35 would be called?

An error! Correlation must be between -1 and 1.


Is the Correlation Coefficient of 35 strong?

The correlation coefficient must lie between -1 and +1 and so a correlation coefficient of 35 is a strong indication of a calculation error. If you meant 0.35, then it is a weak correlation.


What does a correlation coefficient value of negative two indicate?

A mistake in calculations! ;) If the calculations are done correctly then the sample correlation must lie within the closed interval [-1, 1].


Properties of regression coefficient-statistics?

8.7.4 Properties of Regression Coefficients:(a) Correlation coefficient is the geometric mean between the regression coefficients. (b) If one of the regression coefficients is greater than unity, the other must be less than unity.(c) Arithmetic mean of the regression coefficients is greater than the correlation coefficient r, providedr > 0.(d) Regression coefficients are independent of the changes of origin but not of scale.


What would an example of a null and alternative hypothesis look like for a one right tail test with a rejection region at an alpha of 1 percent?

It depends on the statistical test that is being applied. Different tests have different critical values. For the sake of definiteness let's say that you plan to measure the IQs of 30 people using two different paper-and-pencil tests. In advance of your study you decided that the null hypothesis would be that there is no correlation between the two tests and that the alternative hypothesis would be that a positive correlation of the results of test B on those of test A would be accepted at level p=0.01 (or 1%). You proceed with your measurements and you make your correlation calculation. Meanwhile you have consulted the necessary tables to find that the critical value for the correlation statistic based on 30 points is 0.306. This means that you must accept the null hypothesis if the sample correlation coefficient is less than or equal to 0.306. You can accept the alternative if the sample statistic is greater than 0.306.

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