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Be very careful to report numerical answers to the number of decimal places indicated. To receive full credit, your answersmustbe correct to the number of decimal places specified. To ensure this, use maximum precision values in all calculations. Round only for the purpose of entering answers into Moodle. Do not use rounded answers in subsequent calculations. Always use full-precision values in calculations that involve multiple steps.

Spearman's Correlation A county fair held a pie-baking contest. The fair organizers enlisted the help of two judges to evaluate and rank the pies. Ten pies were entered into the competition, and the two judges tasted the ten pies and then ranked them. The ranks of the ten pies for the two judges are given in the table below. Judge Pie Rankings A 4 Vi 9 8 10 1 2 9 3 6 B 5 6 4 9 8 il 3 10 2 7 One question of interest to the organizers is how consistent the judges are in their rankings. This can be answered by looking at the correlation between the rankings of the two judges. Calculate Spearman's correlation between the pie rankings. Use the definition formula (i.e., not the shortcut formula). Round the value to three decimal places. Answer: Calculate Spearman's correlation between the pie rankings using the shortcut formula. Round the value to three decimal places. Answer: True or False: Spearman's correlation calculated using the definition formula and the value obtained using the shortcut formula are equal. Select one: O True O False Calculate the Pearson correlation between the pie rankings. Round the value to three decimal places. Answer: True or False: Pearson's correlation and Spearman's correlation are equal for the pie rankings. Select one: O True O False