The flow rate in a device used for air quality measurement depends on the pressu

Question

The flow rate in a device used for air quality measurement depends on the pressure drop x (inches of water) across the device's filter. Suppose that for x values between 5 and 20, these two variables are related according to the simple linear regression model with true regression line y = -0.15 + 0.093x.

(a) What is the true average flow rate for a pressure drop of 10 in.?


A drop of 15 in.?


(b) What is the true average change in flow rate associated with a 1 inch increase in pressure drop?


(c) What is the average change in flow rate when pressure drop decreases by 5 in.?

Explanation / Answer

a) x=10,y=-0.15+(0.093*10)=0.78

x=15,y=-0.15+(0.093*15)=1.245

b)0.093

c)-0.093*5=-0.465

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