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kms5229

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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

Predicted Values for New Observations

New

Obs      Fit   SE Fit        95% CI             95% PI

  1   75.301    0.741   (73.833, 76.769)   (64.699, 85.903)

  2   75.624    4.219   (67.273, 83.975).  (62.209, 89.040)XX

  3   74.272    0.772   (72.744, 75.800)   (63.662, 84.882)

XX denotes a point that is an extreme outlier in the predictors.

Values of Predictors for New Observations

New 

Obs    Age   Cholesterol

  1   25.0            25

  2   25.0           135

  3   24.0           125

What is a 95% confidence interval on the mean blood pressure for all 25-year-olds with a cholesterol level of 135?


(73.833, 76.769)


(67.273, 83.975)


(72.744, 75.800)


(62.209, 89.040)



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Marked as best answer by kms5229 on Feb 26, 2023

fowlerhop@rocketmail.com

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kms5229

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Reply 2 on: Feb 26, 2023
Wow, this really help


DylanD1323

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Reply 3 on: Yesterday
Gracias!

 

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