Assuming the residuals are normally distributed, construct a 95% confidence inte

Question

Assuming the residuals are normally distributed, construct a 95% confidence interval about the slope of the true least-squares regression line.

Lower Bound

equals=

Upper Bound

equals=

(Round to three decimal places as needed.)

(f) For a 42-year-old male patient who visits the doctor's office, would using the least-squares regression line obtained in part (b) to predict the HDL cholesterol of this patient be recommended? If the null hypothesis was rejected, that means that this least-squares regression line can accurately predict the HDL cholesterol of a patient. If the null hypothesis was not rejected, that means the least-squares regression line cannot accurately predict the HDL cholesterol of a patient. Should this least-squares regression line be used to predict the patient's HDL cholesterol?

A good estimate for the HDL cholesterol of this patient is ______.

(Round to two decimal places as needed.)

Lower Bound

equals=

Upper Bound

equals=

Age vs. HDL Cholesterol data Age, X 36 67 32 49 26 54 48 HDL Cholesterol, y 43 62 51 35 45 37 HDL Cholesterol, Age, x 36 41 57 52 57 35 34 53 50 59 62 25 30 37 47 Print Done

Explanation / Answer

So, Lower bound = -0.553

Upper Bound = 0.304

f) least-squares regression line obtained in part (b) to predict the HDL cholesterol of this patient be recommended can't be recommended

Means, null hypothesis was not rejected,

good estimate for the HDL cholesterol of this patient is 44.59

Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 50.127 9.267 5.409 0.000 30.376 69.878 X Variable 1 -0.124 0.201 -0.619 0.545 -0.553 0.304

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