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Infinitez Infinitez
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A year ago
Medical researchers conducted a study designed to evaluate the relationship between blood pressure (y), age (x1), and cholesterol (x2). They proposed a linear model. A total of 126 individuals were randomly sampled, and blood pressure, age, and cholesterol were recorded for each. The regression summary appears here:

The regression equation is

Blood Pressure = 45.5 + 1.03 Age + 0.032 Cholesterol

Predictor      Coef SE      Coef     T         P

Constant         45.54     50.73    0.90   0.371

Age            1.02866   0.03920   26.24   0.000

Cholesterol     0.0323    0.4071    0.08   0.937

S = 5.30434 R-Sq = 85.0% R-Sq(adj) = 84.7%

Analysis of Variance

Source           DF        SS       MS        F       P

Regression        2   19600.5   9800.2   348.32   0.000

Residual Error  123    3460.7     28.1

Total           125   23061.2

Which predictor (if any) does not appear to be linearly correlated with blood pressure? Which reason supports your answer?



All of the predictors are significant because thep-value from the global utility test is essentially zero.



All of the predictors are significant because the R-Sq value is quite high (85%).



Cholesterol does not appear to be linearly correlated with blood pressure because itsp- value is 0.937.



Age does not appear to be linearly correlated with blood pressure because itsp-value is essentially zero.

Textbook 
Introductory Statistics: A Problem-Solving Approach

Introductory Statistics: A Problem-Solving Approach


Edition: 3rd
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benschmannbenschmann
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A year ago
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