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 variablesx 1,x 2, andx 3, 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 x 1 15 158.78 159.68 158.78 3.459 0.893110 x 2 15 56.85 57.85 56.85 1.445 0.373097 x 3 15 176.84 176.04 176.84 4.018 1.037443 Variable Minimum Maximum Q1 Q3 x 1 126 170 136.347 167.113 x 2 43 81 47.839 77.990 x 3 120 234 141.672 224.477 Correlations (Pearson) x 1 x 2 x 2 0.889 x 3 0.850 0.639 Regression Analysis The regression equation is x 1 = 0.808 + 1.262x 2 + 0.815x 3 Predictor Coef StDev T P Constant 0.808 0.494 1.64 0.064 x 2 1.262 0.617 2.05 0.032 x 3 0.815 0.753 1.08 0.150 S = 0.470 R-sq = 91.1 % R-sq(adj) = 93.1 % What percentage of variation in x1 can be explained by the corresponding variation in x2? Round your answer to the nearest tenth.answer choices:91.1%93.1%8.9%72.3%79.0%

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 x 1 , x 2 , and x 3 ,...

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 variablesx
₁,x
₂, andx
₃, 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
x ₁	15	158.78	159.68	158.78	3.459	0.893110
x ₂	15	56.85	57.85	56.85	1.445	0.373097
x ₃	15	176.84	176.04	176.84	4.018	1.037443

Variable	Minimum	Maximum	Q1	Q3
x ₁	126	170	136.347	167.113
x ₂	43	81	47.839	77.990
x ₃	120	234	141.672	224.477

Correlations (Pearson)
	x ₁	x ₂
x ₂	0.889
x ₃	0.850	0.639

Regression Analysis

The regression equation is

x
₁ = 0.808 + 1.262x
₂ + 0.815x
₃

Predictor	Coef	StDev	T	P
Constant	0.808	0.494	1.64	0.064
x ₂	1.262	0.617	2.05	0.032
x ₃	0.815	0.753	1.08	0.150
S = 0.470	R-sq = 91.1 %	R-sq(adj) = 93.1 %

What percentage of variation in x1 can be explained by the corresponding variation in x2? Round your answer to the nearest tenth.

answer choices:

91.1%

93.1%

8.9%

72.3%

79.0%

Jun 08, 2022

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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 x 1 , x 2 , and x 3 ,...

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