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 yi 136 287 37 10 498 554 (a) Calculate and interpret Spearman's rank correlation coefficient (b) Does Spearman's correlation differ depending on whether ranks are assigned in a decreasing or increasing order? (c) Suppose the coffee can only be rated as either good (>5) or bad (55) Do the chances of a good rating differ between the two journalists?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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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 yi
136
287
37 10
498
554
(a) Calculate and interpret Spearman's rank correlation coefficient,
(b) Does Spearman's correlation differ depending on whether ranks are assigned in a decreasing or increasing order?
(c) Suppose the coffee can only be rated as either good (>5) or bad (55). Do the chances of a good rating differ
between the two journalists?
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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 yi 136 287 37 10 498 554 (a) Calculate and interpret Spearman's rank correlation coefficient, (b) Does Spearman's correlation differ depending on whether ranks are assigned in a decreasing or increasing order? (c) Suppose the coffee can only be rated as either good (>5) or bad (55). Do the chances of a good rating differ between the two journalists? Class comments Add a class comment Type here to search
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