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?