Answer to 4 decimal places 7. The peak flow rate of a person is the fastest rate

Question

Answer to 4 decimal places

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 peak flow 660 std.dev 8.5591 117.9952 height 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 dependent/response variable, Y. (b) Identify the independent/explanatory variable, X. (c) Calculate the intercept of the estimated regression line. (d) Calculate the slope of the estimated regression line. (e) Interpret the slope of the estimated regression line in terms of the problem (f) Interpret the intercept of the estimated regression line in terms of the problem (if appropriate) (g) Predict the peak flow of a man who is 174 cm tall.

Explanation / Answer

a. and b. As the height of a man should affect the peak flow, the dependent variable is peak flow and the independent variable is height

c. and d. For regression we know that slope/correlation coefficient = SD(y)/ SD(x)

Slope = 0.32725*117.9952/8.5591 = 4.5114

Intercept = Mean(y) - slope*Mean(x) = 660 - 4.5114*180.4118 = -153.9098

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