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 15 157.63 157.73 157.63 3.456 0.892335 x2 15 62.26 62.76 62.26 1.356 0.350118 x3 15 167.50 166.50 167.50 4.055 1.046996 ​ Variable Minimum Maximum Q1 Q3 x1 123 179 139.036 166.522 x2 42 87 47.988 77.501 x3 121 237 143.387 222.976 ​ Correlations (Pearson)   x1 x2 x2 0.863   x3 0.828 0.641 Regression Analysis   The regression equation is   x1 = 0.858 + 0.812x2 + 0.528x3  ​ Predictor Coef StDev T P 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. Round your answer to one decimal place. answer choices: 130.7 146.9 170.4 203.6 157.6

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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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 x1x2, 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 15 157.63 157.73 157.63 3.456 0.892335
x2 15 62.26 62.76 62.26 1.356 0.350118
x3 15 167.50 166.50 167.50 4.055 1.046996

Variable Minimum Maximum Q1 Q3
x1 123 179 139.036 166.522
x2 42 87 47.988 77.501
x3 121 237 143.387 222.976

Correlations (Pearson)
  x1 x2
x2 0.863  
x3 0.828 0.641

Regression Analysis
 

The regression equation is
 

x1 = 0.858 + 0.812x2 + 0.528x

Predictor Coef StDev T P
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. Round your answer to one decimal place.

answer choices:

130.7

146.9

170.4

203.6

157.6

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