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A newspaper asks two of its staff to review the coffee quality at different trendy cafés. The coffee can be rated on a scale from 1 (miserable) to 10 (excellent). The results of the two coffee enthusiasts X and Y are as follows: Café i Xi Vi 3 6 8 7 7 10 98 5 4 I 2 3 4 5 (a) Calculate and interpret Spearman's rank correlation coefficient. (b) Does Spearman's R differ depending on whether ranks are assigned in a decreas- ing or increasing order? (c) Suppose the coffee can only be rated as either good (>5) or bad (<5). Do the chances of a good rating differ between the two journalists?

A newspaper asks two of its staff to review the coffee quality at different trendy cafés. The coffee can be rated on a scale from 1 (miserable) to 10 (excellent). The results of the two coffee enthusiasts X and Y are as follows: Café i Xi Vi 3 6 8 7 7 10 98 5 4 I 2 3 4 5 (a) Calculate and interpret Spearman's rank correlation coefficient. (b) Does Spearman's R differ depending on whether ranks are assigned in a decreas- ing or increasing order? (c) Suppose the coffee can only be rated as either good (>5) or bad (<5). Do the chances of a good rating differ between the two journalists?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 23PFA
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A newspaper asks two of its staff to review the coffee quality at different trendy cafés. The coffee can be rated on a scale from 1 (miserable) to 10 (excellent). The results of the two coffee enthusiasts X and Y are as follows: Café i Xi Vi 36 8 7 7 10 98 5 4 I 2 3 4 5 (a) Calculate and interpret Spearman's rank correlation coefficient. (b) Does Spearman's R differ depending on whether ranks are assigned in a decreas- ing or increasing order? (c) Suppose the coffee can only be rated as either good (>5) or bad (<5). Do the chances of a good rating differ between the two journalists?
Transcribed Image Text:A newspaper asks two of its staff to review the coffee quality at different trendy cafés. The coffee can be rated on a scale from 1 (miserable) to 10 (excellent). The results of the two coffee enthusiasts X and Y are as follows: Café i Xi Vi 36 8 7 7 10 98 5 4 I 2 3 4 5 (a) Calculate and interpret Spearman's rank correlation coefficient. (b) Does Spearman's R differ depending on whether ranks are assigned in a decreas- ing or increasing order? (c) Suppose the coffee can only be rated as either good (>5) or bad (<5). Do the chances of a good rating differ between the two journalists?
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