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"he flow rate y (m/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 ccording to the simple linear regression model with true regression line y = -0.14 + 0.095x. n USE SALT (a) What is the expected change in flow rate associated with a 1 in. Increase in pressure drop? (m/min) Explain. O we expect the change in flow rate (x) to be the y-intercept of the regression line. O we expect the change in flow rate (x) to be the slope of the regression line. O we expect the change in flow rate (y) to be the slope of the regression line. O we expect the change in flow rate (y) to be the y-Intercept of the regression llne. (b) What change in flow rate can be expected when pressure drop decreases by 5 in.? | (m³/min) (c) What is the expected flow rate for a pressure drop of 10 in.? A drop of 17 in.? | (m³/min) |(m³/min) 10 in. drop 17 in. drop (d) Suppose o - 0.025 and consider a pressure drop of 10 In. What is the probability that the observed value of flow rate will exceed 0.835? That observed flow rate will exceed 0.840? (Round your answers to four decimal places.) P(Y > 0.835) = P(Y > 0.840) (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.? (Round your answer to four decimal places.)

"he flow rate y (m/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 ccording to the simple linear regression model with true regression line y = -0.14 + 0.095x. n USE SALT (a) What is the expected change in flow rate associated with a 1 in. Increase in pressure drop? (m/min) Explain. O we expect the change in flow rate (x) to be the y-intercept of the regression line. O we expect the change in flow rate (x) to be the slope of the regression line. O we expect the change in flow rate (y) to be the slope of the regression line. O we expect the change in flow rate (y) to be the y-Intercept of the regression llne. (b) What change in flow rate can be expected when pressure drop decreases by 5 in.? | (m³/min) (c) What is the expected flow rate for a pressure drop of 10 in.? A drop of 17 in.? | (m³/min) |(m³/min) 10 in. drop 17 in. drop (d) Suppose o - 0.025 and consider a pressure drop of 10 In. What is the probability that the observed value of flow rate will exceed 0.835? That observed flow rate will exceed 0.840? (Round your answers to four decimal places.) P(Y > 0.835) = P(Y > 0.840) (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.? (Round your answer to four decimal places.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The flow rate \( y \) (m\(^3\)/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 \( y = -0.14 + 0.095x \). --- **(a)** What is the expected change in flow rate associated with a 1 in. increase in pressure drop? \(\_\_\_\_\) (m\(^3\)/min) *Explain.* - \( \circ \) We expect the change in flow rate (\( x \)) to be the y-intercept of the regression line. - \( \circ \) We expect the change in flow rate (\( x \)) to be the slope of the regression line. - \( \circ \) We expect the change in flow rate (\( y \)) to be the slope of the regression line. - \( \circ \) We expect the change in flow rate (\( y \)) to be the y-intercept of the regression line. --- **(b)** What change in flow rate can be expected when pressure drop decreases by 5 in.? \(\_\_\_\_\) (m\(^3\)/min) --- **(c)** What is the expected flow rate for a pressure drop of 10 in.? A drop of 17 in.? 10 in. drop: \(\_\_\_\_\) (m\(^3\)/min) 17 in. drop: \(\_\_\_\_\) (m\(^3\)/min) --- **(d)** Suppose \(\sigma = 0.025\) and consider a pressure drop of 10 in. What is the probability that the observed value of flow rate will exceed 0.835? That the observed flow rate will exceed 0.840? (Round your answers to four decimal places.) \( P(Y > 0.835) = \) \( P(Y > 0.840) = \) --- **(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.? (Round your answer to four decimal places.) \(\_\_\_\_\)
Transcribed Image Text:The flow rate \( y \) (m\(^3\)/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 \( y = -0.14 + 0.095x \). --- **(a)** What is the expected change in flow rate associated with a 1 in. increase in pressure drop? \(\_\_\_\_\) (m\(^3\)/min) *Explain.* - \( \circ \) We expect the change in flow rate (\( x \)) to be the y-intercept of the regression line. - \( \circ \) We expect the change in flow rate (\( x \)) to be the slope of the regression line. - \( \circ \) We expect the change in flow rate (\( y \)) to be the slope of the regression line. - \( \circ \) We expect the change in flow rate (\( y \)) to be the y-intercept of the regression line. --- **(b)** What change in flow rate can be expected when pressure drop decreases by 5 in.? \(\_\_\_\_\) (m\(^3\)/min) --- **(c)** What is the expected flow rate for a pressure drop of 10 in.? A drop of 17 in.? 10 in. drop: \(\_\_\_\_\) (m\(^3\)/min) 17 in. drop: \(\_\_\_\_\) (m\(^3\)/min) --- **(d)** Suppose \(\sigma = 0.025\) and consider a pressure drop of 10 in. What is the probability that the observed value of flow rate will exceed 0.835? That the observed flow rate will exceed 0.840? (Round your answers to four decimal places.) \( P(Y > 0.835) = \) \( P(Y > 0.840) = \) --- **(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.? (Round your answer to four decimal places.) \(\_\_\_\_\)
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