The following data is representative of that reported in an article on nitrogen emissions, with x = burner area liberation rate (MBtu/hr-ft2) and y = NO emission rate (ppm): x 100 125 125 150 150 200 200 250 250 300 300 350 400 400 y 140 140 170 220 180 330 290 390 440 440 400 590 610 680 (a) Assuming that the simple linear regression model is valid, obtain the least squares estimate of the true regression line. (Round all numerical values to four decimal places.) y = (b) What is the estimate of expected NO emission rate when burner area liberation rate equals 225? (Round your answer to two decimal places.) ppm (c) Estimate the amount by which you expect NO emission rate to change when burner area liberation rate is decreased by 60. (Round your answer to two decimal places.) ppm (d) Would you use the estimated regression line to predict emission rate for a liberation rate of 500? Why or why not? O Yes, the data is perfectly linear, thus lending to accurate predictions. O Yes, this value is between two existing values. O No, this value is too far away from the known values for useful extrapolation. O No, the data near this point deviates from the overall regression model.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter19: Probability And Statistics In Engineering
Section: Chapter Questions
Problem 39P
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The following data is representative of that reported in an article on nitrogen emissions, with x = burner area liberation rate (MBtu/hr-ft2) and y = NO emission rate (ppm):
x 100 125 125 150 150 200 200 250 250 300 300 350 400 400
y 140 140 170 220 180 330 290 390 440 440 400 590 610 680
(a) Assuming that the simple linear regression model is valid, obtain the least squares estimate of the true regression line. (Round all numerical values to four decimal places.)
y =
(b) What is the estimate of expected NO emission rate when burner area liberation rate equals 225? (Round your answer to two decimal places.)
ppm
(c) Estimate the amount by which you expect NO emission rate to change when burner area liberation rate is decreased by 60. (Round your answer to two decimal places.)
ppm
(d) Would you use the estimated regression line to predict emission rate for a liberation rate of 500? Why or why not?
O Yes, the data is perfectly linear, thus lending to accurate predictions.
O Yes, this value is between two existing values.
O No, this value is too far away from the known values for useful extrapolation.
O No, the data near this point deviates from the overall regression model.
Transcribed Image Text:The following data is representative of that reported in an article on nitrogen emissions, with x = burner area liberation rate (MBtu/hr-ft2) and y = NO emission rate (ppm): x 100 125 125 150 150 200 200 250 250 300 300 350 400 400 y 140 140 170 220 180 330 290 390 440 440 400 590 610 680 (a) Assuming that the simple linear regression model is valid, obtain the least squares estimate of the true regression line. (Round all numerical values to four decimal places.) y = (b) What is the estimate of expected NO emission rate when burner area liberation rate equals 225? (Round your answer to two decimal places.) ppm (c) Estimate the amount by which you expect NO emission rate to change when burner area liberation rate is decreased by 60. (Round your answer to two decimal places.) ppm (d) Would you use the estimated regression line to predict emission rate for a liberation rate of 500? Why or why not? O Yes, the data is perfectly linear, thus lending to accurate predictions. O Yes, this value is between two existing values. O No, this value is too far away from the known values for useful extrapolation. O No, the data near this point deviates from the overall regression model.
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