An ardent fan of television game shows has observed that, in general, the more educated the contestant, the less money he or she wins. To test her belief, she gathers data about the last eight winners of her favorite game show. She records their winnings in dollars and the number of years of education. The results are as follows:

\f(3) Determine the standard error of estimate 5 . (b) Determine the coefficient of determination and discuss what its value tells you about the two variables (0) Calculate the Pearson correlation coefficient. What sign does it have? Does it match with the sign of b1? What does it mean in the context of this problem? ((1) Conduct a test for l at the 5% significance level, to check whether a negative linear relationship exists between years of education and TV game shows' winnings