1) Is r yx = r xy ? That is, will the sample correlation coefficient be the same
ID: 3023782 • Letter: 1
Question
1) Is ryx = rxy? That is, will the sample correlation coefficient be the same if you exchange continuous random variables X and Y? Why or why not?
2) What type of association does the correlation coefficient, ryx, quantify?
3) Should the estimated correlation be extrapolated beyond the observed ranges of the variables?
4) Is the sample correlation coefficient, ryx, sensitive to extreme outliers? Explain.
5) Can you calculate the sample correlation coefficient, ryx, if all X values are the same? If all the Y values are the same? Explain in terms of the formula for ryx.
Explanation / Answer
Sol)
Is ryx = rxy. since correlation coeff is symmetric
2) It many positive, negative or no correlation may exit between the variables
3)No. correlation tells only assosiation between two variables. It can not forecast future values. we use regression
4)Outliers can have a very large effect on the line of best fit and the Pearson correlation coefficient, which can lead to very different conclusions regarding your data. This point is most easily illustrated by studying scatterplots of a linear relationship with an outlier included and after its removal, with respect to both the line of best fit and the correlation coefficient.
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