Correlation: Use the data provided in the table below to calculate the sample correlation coefficient (r). Record your answer with two decimal places. | Patient ID | (X-Xbar)^2 | (Y-Ybar)^2 | (X-Xbar)(Y-Ybar) | | :--- | :--- | :--- | :--- | | 1 | 1 | 0.29 | 0.54 | | 2 | 1 | 0.30 | 0.55 | | 3 | 16 | 0.0064 | 0.32 | | 4 | 0 | 1.72 | 0 | | 5 | 4 | 0.69 | 1.66 | | 6 | 25 | 6.05 | 12.3 | | 7 | 9 | 0.07 | 0.78 | | 8 | 25 | 10.50 | 16.2 | | 9 | 9 | 11.16 | 10.02 | | 10 | 4 | 7.18 | 5.36 | | 11 | 16 | 3.31 | 7.28 | | Total | | | |
Added by Joseph B.
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Step 1
Xbar = (166 + 10 + 7 + 18 + 7) / 5 = 41.6 Sx = sqrt(((166-41.6)^2 + (10-41.6)^2 + (7-41.6)^2 + (18-41.6)^2 + (7-41.6)^2) / 4) = 63.6 Ybar = (12.3 + 16.2 + 6.05 + 10.5 + 14.16) / 5 = 11.84 Sy = sqrt(((12.3-11.84)^2 + (16.2-11.84)^2 + (6.05-11.84)^2 + Show more…
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