Age and Blood Pressure The ages (in years) of 10 men and their systolic blood pressures (in millimeters of mercury) is given below. Age, x 16 25 39 45 49 64 70 29 57 22 Systolic blood pressure 109 122 143 132 199 185 199 130 175 118 Find the sample linear correlation coefficient and interpret it in the context of the problem.
Added by Matthew O.
Step 1
Mean of ages (x̄) = (16 + 25 + 39 + 45 + 49 + 64 + 70 + 29 + 57 + 22) / 10 = 416 / 10 = 41.6 Mean of systolic blood pressures (ȳ) = (109 + 122 + 143 + 132 + 199 + 185 + 199 + 130 + 175 + 118) / 10 = 1512 / 10 = 151.2 Show more…
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The ages (in years) of 10 men and their systolic blood pressures (in millimeters of mercury) are shown in the attached data table with a sample correlation coefficient r of 0.910. Remove the data entry for the man who is 49 years old and has a systolic blood pressure of 199 millimeters of mercury from the data set and find the new correlation coefficient. Describe how this affects the correlation coefficient r. Use technology. Click the icon to view the data set. The new correlation coefficient r going from 0.910 to . (Round to three decimal places as needed.) Data Table Age, x Systolic blood pressure, y 18 109 27 122 38 145 44 132 49 199 63 184 70 198 28 132 57 177 23 119
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The data below are the ages and systolic blood pressures (measured in millimeters of mercury) of 9 randomly selected adults. Calculate the correlation coefficient, r. Age, x | 41 | 44 | 48 | 51 | 54 | 56 | 60 | 64 | 68 | Pressure, y | 118 | 122 | 125 | 133 | 144 | 147 | 150 | 152 | 154 | 0.890 0.908 0.998 0.960
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The following are the ages in years (X) and systolic blood pressures (Y) of 10 apparently healthy adults: Age (X) SBP (Y) 20 120 43 128 63 141 26 126 53 134 31 128 58 136 46 132 58 140 70 144 A. Calculate Pearson's correlation coefficient between age (X) and systolic blood pressure (Y). (10 points). B. Conduct a hypothesis test to investigate whether there is a significant linear relationship between X and Y, using α= .05. State your null and alternative hypotheses and the conclusion. (3+2 points)
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