7. The peak flow rate of a person is the fastest rate at which a person can expe

Question

7. The peak flow rate of a person is the fastest rate at which a person can expel air after taking a deep breath. Peak flow is measured in units of liters/min, and gives an in- dication of a persons respiratory health. 17 men were randomly sampled, and information on their peak flow and height (in cm) follows: height peak flow 660 std.dev 8.5591 117.9952 mean 180.4118 The thought is that the height of a man should effect their peak flow. In addition, we are given that the sample correlation is 0.32725, and SS(resid) = 198.909. (a) Identify the explanatory/independent variable(X) and response/dependent variable (Y)

Explanation / Answer

a.) X(independent variable) = Height of the person

Y(dependent variable) = flow rate

b.) Y = a + bX

b = r*(SDy/SDx)

= 0.327*(117.99/8.559)

= 4.507

a = µy - b*µx

= 660 - (4.5*(180.411))

= -151.84

y = -151.84 + 4.507x

c.) slope of the regression line = 4.507

d.) Intercept = -151.84

e.) y = -151.84 + 4.5*174

= 631.16

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