Sample of measurements on two quantitative variables


A random sample of measurements on two quantitative variables x and y is taken from a population. The data for the variables x and y are: {( x,y) |( 2,1), ( 3,2), ( 4,3), ( 5,5)}. Assume that x is an independent variable and y is a dependent variable. Calculate the Pearson correlation coefficient. What does the correlation mean? Is the correlation statistically significant at the 5% level? What is the effect size? What is the coefficient of determination?

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Basic Statistics: Sample of measurements on two quantitative variables
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