1 want determine if there is a significant correlation between cumulative GPA and having access to free meals at 7 Ontario universities We tabulate the data as follows (see the table on the next page) University of students having free meals (X) of students having a CPGA over 3 2 (Y) Windsor 14 4 54 0 Western 7 2 64 0 Toronto 27 5 44 0 Guelph 54 0 32 0 McMaster 38 0 37 0 York 15 9 68 0 Brock 3 1 62 0 a) Determine both the Pearson and Spearman correlation coefficients by hand b) Are the Pearson and Spearman correlations statistically significant for alpha 0 05 Use a t test for the Pearson coefficient and the Spearman table for the Spearman coefficient c) If the tests agree explain why and if they disagree, explain why

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Question: 1. want determine if there is a significant correlation between cumulative GPA and having access to free meals at 7 Ontario universities. We tabulate the

1. want determine if there is a significant correlation between cumulative GPA and having access to free meals at 7 Ontario universities. We tabulate the data as follows (see the table on the next page).

University	% of students having free meals (X)	% of students having a CPGA over 3.2 (Y)
Windsor	14.4	54.0
Western	7.2	64.0
Toronto	27.5	44.0
Guelph	54.0	32.0
McMaster	38.0	37.0
York	15.9	68.0
Brock	3.1	62.0

a) Determine both the Pearson and Spearman correlation coefficients by hand.

b) Are the Pearson and Spearman correlations statistically significant for alpha = 0.05? Use a t-test for the Pearson coefficient and the Spearman table for the Spearman coefficient.

c) If the tests agree explain why and if they disagree, explain why.

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