The systolic blood pressure of individuals is thought to be
related to both age and weight. Let the systolic blood pressure,
age, and weight be represented by the variables
x1, x2, and
x3, respectively. Suppose that Minitab was used
to generate the following descriptive statistics, correlations, and
regression analysis for a random sample of 15
individuals.
Descriptive Statistics | ||||||
Variable | N | Mean | Median | TrMean | StDev | SE Mean |
x1 | 15 | 154.35 | 154.65 | 154.35 | 3.450 | 0.890786 |
x2 | 15 | 68.43 | 69.33 | 68.43 | 1.266 | 0.326880 |
x3 | 15 | 186.00 | 185.60 | 186.00 | 4.952 | 1.278601 |
Variable | Minimum | Maximum | Q1 | Q3 |
x1 | 126 | 175 | 143.478 | 167.513 |
x2 | 45 | 89 | 47.361 | 77.400 |
x3 | 122 | 243 | 141.511 | 222.372 |
Correlations (Pearson) | ||
x1 | x2 | |
x2 | 0.848 | |
x3 | 0.836 | 0.671 |
Regression Analysis
The regression equation is
x1 = 0.833 + 1.388x2 + 0.937x3
Predictor | Coef | StDev | T | P |
Constant | 0.833 | 0.693 | 1.20 | 0.126 |
x2 | 1.388 | 0.665 | 2.09 | 0.029 |
x3 | 0.937 | 0.513 | 1.83 | 0.046 |
S = 0.320 | R-sq = 91.7 % | R-sq(adj) = 93.7 % |
Relative to its mean, which variable has the greatest spread of data values?
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