Explanation Given: The given date is Weight ( X ) Income ( Y ) 4 151 5 88 3 52 2 73 1 49 3 92 1 56 5 143 Formula Used: r s = 1 − 6 × ∑ d i 2 n ( n 2 − 1 ) Calculations: First we have to convert the weights and the incomes into the ranks. Weight Rank Weight income Rank Income 4 6 151 8 5 7.5 88 5 3 4.5 52 2 2 3 73 4 1 1.5 49 1 3 4.5 92 6 1 1.5 56 3 5 7.5 143 7 Let's denote the Rank weight by X and the Rank Income by Y . To compute the Spearman's correlation, we will use the below formula: r s = 1 − 6 × ∑ d i 2 n ( n 2 − 1 ) Rank Weight ( X ) Rank Income ( Y ) d 2 = ( X − Y ) 2 6 8 4 7.5 5 6.25 4.5 2 6.25 3 4 1 1.5 1 0.25 4.5 6 2.25 1.5 3 2.25 7.5 7 0.25 ∑ d i 2 = 22

Bundle: Statistics for the Behavioral Sciences, Loose-leaf Version, 10th + Aplia, 1 term Printed Access Card

10th Edition

ISBN: 9781337129039

Author: Frederick J Gravetter, Larry B. Wallnau

Publisher: Cengage Learning

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Question

Chapter 15, Problem 21P

To determine

The conversion of weights and the incomes into ranks and the Spearman correlation for the given scores.
If the Spearman correlation is large enough to be significant?

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Chapter 15 Solutions

Bundle: Statistics for the Behavioral Sciences, Loose-leaf Version, 10th + Aplia, 1 term Printed Access Card

Ch. 15 - What information is provided by the sign (+ or -)...Ch. 15 - What information is provided by the numerical...Ch. 15 - Calculate SP (the sum of products of deviations)...Ch. 15 - Calculate SP (the sum of products of deviations)...Ch. 15 - For the following scores, X Y 2 7 5 4 4 7 7 5 2 6...Ch. 15 - For the following scores, X Y 0 4 2 9 1 6 1 9 a....Ch. 15 - For the following scores, X Y 4 0 1 5 1 0 4 5 a....Ch. 15 - For the following scores, X Y 3 6 5 5 6 0 6 2 5 2...Ch. 15 - With a small sample, a single point can have a...Ch. 15 - For the following scores, X Y 4 5 6 5 3 2 9 4 6 5...

Ch. 15 - Correlation studies are often used to help...Ch. 15 - In the Chapter Preview we discussed a study by...Ch. 15 - The researchers cited in the previous problem also...Ch. 15 - 14. Identifying individuals with a high risk of...Ch. 15 - 15. For a two-tailed test with =.05 , use Table...Ch. 15 - 16. As we have noted in previous chapters, even a...Ch. 15 - 17. A researcher measures three variables, X, V,...Ch. 15 - A researcher records the annual number of serious...Ch. 15 - 19. A common concern for students (and teachers)...Ch. 15 - It appears that there is a significant...Ch. 15 - Prob. 21P Ch. 15 - Prob. 22P Ch. 15 - Prob. 23P Ch. 15 - Studies have shown people with high intelligence...

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The conversion of weights and the incomes into ranks and the Spearman correlation for the given scores. If the Spearman correlation is large enough to be significant?

The conversion of weights and the incomes into ranks and the Spearman correlation for the given scores. If the Spearman correlation is large enough to be significant?

Chapter 15 Solutions

The conversion of weights and the incomes into ranks and the Spearman correlation for the given scores.
If the Spearman correlation is large enough to be significant?