WA6.docx - Written Assignment 6 1 Calculate the Pearson...

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Written Assignment 6 1. Calculate the Pearson correlation between hand and foot size for students in the Student Data Table. Graph the relationship, determine a hypothesis to test this relationship, and statistically test this hypothesis using alpha=0.05. Interpret all results in a paragraph citing the appropriate statistics. Foot Size (x) Hand Size (y) 8 5 7 6 10 7 12 8 14 8 12 9 12 8 14 7 9 7 14 9 8 6 10 8 9 7 9 7 10 8 8 6 13 9 12 8 10 6 9 7 r 2 = ¿ 0.5758 r ( Pearsoncorrelation coefficient )= ¿ 0.7588 Sum 210 146 Mean 10.5 7.3 Standard Dev 2.1564 1.1 Count (n) 20 20
6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 f(x) = 0.39 x + 3.24 R² = 0.58 Foot Size vs Hand Size Foot Size Hand Size a. H 0 : Large foot ¿ Large hand ¿¿ b. H a : Large foot ¿ Largehand ¿¿ c. p value : 0.000105 d. 0.000105 < .05, theresult issignificant e. Using the Student data table provided, I developed two hypotheses based off of the relationship between foot size and hand size. The null hypothesis stated that a large foot size did not necessarily correlate to a large hand size and the alternative hypothesis stated that a large foot size did correlate to a large hand size. After determining Pearson’s

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