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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 4GP
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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
Mean
15
157.63 157.73
15
Median
TrMean
StDev
SE Mean
157.63
3.456
0.892335
62.26
62.76
167.50 166.50
62.26
1.356
0.350118
15
167.50
4.055
1.046996
Variable
Minimum
Маximum
Q3
166.522
77.501
123
179
139.036
x2
42
87
47.988
X3
121
237
143.387
222.976
Correlations (Pearson)
x2
0.863
0.828
0.641
Regression Analysis
Transcribed Image Text: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 Mean 15 157.63 157.73 15 Median TrMean StDev SE Mean 157.63 3.456 0.892335 62.26 62.76 167.50 166.50 62.26 1.356 0.350118 15 167.50 4.055 1.046996 Variable Minimum Маximum Q3 166.522 77.501 123 179 139.036 x2 42 87 47.988 X3 121 237 143.387 222.976 Correlations (Pearson) x2 0.863 0.828 0.641 Regression Analysis
Regression Analysis
The regression equation is
X1 =0.858 + 0.812x2 +0.528x3
%3D
Predictor
Coef
StDev
Constant
0.858
0.723
1.19
0.129
X2
0.812
0.759
1.07
0.153
X3
0.528
0.464
1.14
0.139
S-0.132
R-sq = 96.1 %
R-sq(adj)=96.6 %
Suppose a person's age is 55 and weight is 192. Predict his or her systolic blood
pressure.
O 170.4
203.6
O 130.7
157.6
O 146.9
Transcribed Image Text:Regression Analysis The regression equation is X1 =0.858 + 0.812x2 +0.528x3 %3D Predictor Coef StDev Constant 0.858 0.723 1.19 0.129 X2 0.812 0.759 1.07 0.153 X3 0.528 0.464 1.14 0.139 S-0.132 R-sq = 96.1 % R-sq(adj)=96.6 % Suppose a person's age is 55 and weight is 192. Predict his or her systolic blood pressure. O 170.4 203.6 O 130.7 157.6 O 146.9
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