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HW #7 Problems 1. The flow rate (Y) in a device used for air quality measurements depends on the pressure drop X (inches of water) across the device's filter. Suppose that for X values between 5 and 20 inches, these two variables are related according to a simple linear regression model with true population regression line of Y = -0.12 + 0.095X. (a) What is the mean flow rate for a pressure drop of 10 inches? 15 inches? (b) What is the average change in flow rate associated with a 1 inch increase in pressure drop? Explain. (c) The SD of the error terms around the true regression line was not given above. Suppose it is ? = 0.20 flow rate units. If that is true, how likely is it that a randomly chosen Y observation made when when X=15 inches will be greater than a randomly chosen Y observation made when X=10 inches? Show work.

          HW #7 Problems
1. The flow rate (Y) in a device used for air quality measurements depends on the pressure drop X (inches of water) across the device's filter. Suppose that for X values between 5 and 20 inches, these two variables are related according to a simple linear regression model with true population regression line of Y = -0.12 + 0.095X.
(a) What is the mean flow rate for a pressure drop of 10 inches? 15 inches?
(b) What is the average change in flow rate associated with a 1 inch increase in pressure drop? Explain.
(c) The SD of the error terms around the true regression line was not given above. Suppose it is ? = 0.20 flow rate units. If that is true, how likely is it that a randomly chosen Y observation made when when X=15 inches will be greater than a randomly chosen Y observation made when X=10 inches? Show work.

HW #7 Problems
1. The flow rate (Y) in a device used for air quality measurements depends on the pressure drop X (inches of water) across the device's filter. Suppose that for X values between 5 and 20 inches, these two variables are related according to a simple linear regression model with true population regression line of Y = -0.12 + 0.095X.
(a) What is the mean flow rate for a pressure drop of 10 inches? 15 inches?
(b) What is the average change in flow rate associated with a 1 inch increase in pressure drop? Explain.
(c) The SD of the error terms around the true regression line was not given above. Suppose it is ? = 0.20 flow rate units. If that is true, how likely is it that a randomly chosen Y observation made when when X=15 inches will be greater than a randomly chosen Y observation made when X=10 inches? Show work.

Added by Michael A.

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