(Solved) Medical researchers conducted a study designed to evaluate the relationship between blood pressure ...

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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Medical researchers conducted a study designed to evaluate the relationship between blood pressure ...

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