The flow rate y (m3 / min) in a device used for air-quality measurement depends on the pressure drop x (in. of water) across the device's filter. Suppose that for x values between 5 and 20, the two variables are related according to the simple linear regression model with true regression line y =- 2.12 + .095x.
a. What is the expected change in flow rate associated with a 1-in. increase in pressure drop? Explain.
b. What change in flow rate can be expected when pressure drop decreases by 5 in.?
c. What is the expected flow rate for a pressure drop of 10 in.? A drop of 15 in.?
d. Suppose ( = .025 and consider a pressure drop of 10 in. What is the probability that the observed value of flow rate will exceed .835? That observed flow rate will exceed .840?
e. What is the probability that an observation on flow rate when pressure drop is 10 in. will exceed an observation on flow rate made when pressure drop is 11 in.?