Example8. Calculate Karl Pearson's coefficient of correlation for the following data by taking the deviation from assumed means of x and y series 15 16 17 18 19 20 21 y 80 75 60 40 30 20 10
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Q: Compute the pearson correlation.
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- With respect to the use of correlation, which one of the following statements is false a.When both X and Y are measured on an ordinal scale, we use Spearman’s rho. b. When both X and Y are measured on a continuous scale, we use Pearson’s r. c.when both X and Y are measured on an ordinal scale, we use Pearson’s r. d.When the relationship between X and Y is curvilinear, we use the eta correlation coefficient.9. With a small sample, a single point can have a largeeffect on the magnitude of the correlation. To createthe following data, we started with the scores fromproblem 8 and changed the first X value from X 1to X 6.X Y6 64 11 41 33 1a. Sketch a scatter plot and estimate the value of thePearson correlation.b. Compute the Pearson correlation.Suppose you have a sample of size n for variables X and Y. The sample covariance of X and Y is Cov(X,Y) = 1,000, the sample standard deviation for X is Sx=20 and the sample standard deviation for Y is SY=75. What is the sample correlation coefficient, r?
- A set of n=38 pairs of x and y scores has SSx=150 SSy=25 Ex=50 Ey=160 and EXY=200.What is the Pearson correlation for these scores?Here is a bivariate data set.xy182425915011737106295223812246 Find the correlation coefficient and report it accurate to four decimal places. r =Find the Spearman‘s Rank Correlation and interpret the result of the following series: X 9 8 11 5 7 4 Y 12 8 11 7 6 5