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 15 154.35 154.65 3.450 0.890786 0.326880 154.35 15 68.43 69.33 168.43 1.266 3 15 186.00 185.60 186.00 4.952 1.278601 Variable Minimum Маximum Q1 lo3 |143.478 47.361 141.511 167.513 77.400 126 175 45 89 122 243 222.372 Correlations (Pearson) x2 2 0.848 0.836 0.671 Regression Analysis The regression equation is x1 = 0.833 + 1.388x2 + 0.937x3 Predictor Coef StDev T 1.20 2.09 0.126 0.029 Constant 0.833 l0.693 x2 1.388 0.665 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? O x2 O x1 O x3
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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
Relative to its mean, which variable has the greatest spread of data values?
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