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 according to the simple linear regression model with true regression line y- -0.13 + 0.095x. A USE SALT 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 slope of the regression line. O We expect the change in flow rate (x) to O we expect the change in flow rate (y) to be the slope of the regression line. the y-intercept of the regression line. O We expect the change in flow rate (y) to be the y-intercept of the regression line. What change in flow rate can be expected when pressure drop decreases by S in.? (m/min) What is the expected flow rate for a pressure drop of 10 in.? A drop of 16 in.? (m/min) (m/min) 10 in, drop 16 in. drop Suppose - 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 0.8407 (Round your answers to four decimal places.) P(Y > 0.835) - P(Y> 0.840) - 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.) may need to use the appropriate table in the Appendix of Tables to answer this question.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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The 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 according to the simple linear regression model with true regression line y = -0.13 + 0.095x.
n USE SALT
(a) What is the expected change in flow rate associated with a 1 in. increase in pressure drop?
(m3/min)
Explain.
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 (x) to be the y-intercept 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 line.
(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 16 in.?
10 in. drop
(m³/min)
16 in. drop
| (m³/min)
(d) Suppose o = 0.025 and consider
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.)
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:The 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 according to the simple linear regression model with true regression line y = -0.13 + 0.095x. n USE SALT (a) What is the expected change in flow rate associated with a 1 in. increase in pressure drop? (m3/min) Explain. 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 (x) to be the y-intercept 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 line. (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 16 in.? 10 in. drop (m³/min) 16 in. drop | (m³/min) (d) Suppose o = 0.025 and consider 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.) You may need to use the appropriate table in the Appendix of Tables to answer this question.
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