Question

In: Statistics and Probability

The following data is representative of that reported in an article on nitrogen emissions, with x...

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 = NOx emission rate (ppm):

x 100 125 125 150 150 200 200 250 250 300 300 350 400 400
y 140 140 190 200 190 310 290 410 420 450 400 600 600 670

(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 NOx emission rate when burner area liberation rate equals 240? (Round your answer to two decimal places.)
ppm

(c) Estimate the amount by which you expect NOx emission rate to change when burner area liberation rate is decreased by 50. (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?

Yes, the data is perfectly linear, thus lending to accurate predictions. Yes, this value is between two existing values.     No, this value is too far away from the known values for useful extrapolation. No, the data near this point deviates from the overall regression model.

Solutions

Expert Solution

a)

y^ =-48.8528+1.7170*x

b)

predicted val=-46.8528+240*1.717= 365.23

(please try 365.22 if this comes wrong)

c)

change = 1.7170*(-50)= -85.85

d)

No, this value is too far away from the known values for useful extrapolation


Related Solutions

The following data is representative of that reported in an article on nitrogen emissions, with x...
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 = NOx emission rate (ppm): x 100 125 125 150 150 200 200 250 250 300 300 350 400 400 y 160 140 190 210 180 320 270 410 430 450 390 610 610 670 (a) Assuming that the simple linear regression model is valid, obtain the least squares estimate of the true regression line. (Round...
The following data is representative of that reported in an article on nitrogen emissions, with x...
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 = NOx emission rate (ppm): x 100 125 125 150 150 200 200 250 250 300 300 350 400 400 y 140 150 180 200 180 320 270 400 440 450 380 610 600 680 (a) Assuming that the simple linear regression model is valid, obtain the least squares estimate of the true regression line. (Round...
The following data is representative of that reported in an article on nitrogen emissions, with x...
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 = NOx emission rate (ppm): x 100 125 125 150 150 200 200 250 250 300 300 350 400 400 y 150 130 190 220 190 330 280 400 420 430 400 590 610 680 (a) Assuming that the simple linear regression model is valid, obtain the least squares estimate of the true regression line. (Round...
The following data is representative of that reported in an article on nitrogen emissions, with x...
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 = NOx emission rate (ppm): x 100 125 125 150 150 200 200 250 250 300 300 350 400 400 y 140 140 170 210 200 330 280 390 440 450 400 590 610 660 (a) Assuming that the simple linear regression model is valid, obtain the least squares estimate of the true regression line. (Round...
The following data is representative of that reported in an article with x = burner-area liberation...
The following data is representative of that reported in an article with x = burner-area liberation rate (MBtu/hr-ft2) and y = NOx emission rate (ppm): x 100 125 125 150 150 200 200 250 250 300 300 350 400 400 y 150 140 170 210 180 320 280 400 420 440 400 590 620 680 (a) Does the simple linear regression model specify a useful relationship between the two rates? Use the appropriate test procedure to obtain information about the...
The following data is representative of that reported in an article with x = burner-area liberation...
The following data is representative of that reported in an article with x = burner-area liberation rate (MBtu/hr-ft2) and y = NOx emission rate (ppm): x 100 125 125 150 150 200 200 250 250 300 300 350 400 400 y 140 130 180 200 190 310 280 400 440 440 380 600 610 680. (b) Compute a 95% CI for the expected change in emission rate associated with a 10 MBtu/hr-ft2 increase in liberation rate. (Round your answers to...
The following data is representative of that reported in an article with x = burner-area liberation...
The following data is representative of that reported in an article with x = burner-area liberation rate (MBtu/hr-ft2) and y = NOx emission rate (ppm): x 100 125 125 150 150 200 200 250 250 300 300 350 400 400 y 150 150 180 210 180 310 280 410 440 430 400 610 610 680 (a) Does the simple linear regression model specify a useful relationship between the two rates? Use the appropriate test procedure to obtain information about the...
The following data is representative of that reported in an article with x = burner-area liberation...
The following data is representative of that reported in an article with x = burner-area liberation rate (MBtu/hr-ft2) and y = NOx emission rate (ppm): x 100 125 125 150 150 200 200 250 250 300 300 350 400 400 y 140 150 170 220 200 330 290 400 420 430 390 610 600 660 a. State the appropriate null and alternative hypotheses. b. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places...
Suppose that the U.S. Environmental Protection Agency reported the following sulphur dioxide emissions (in tons) for...
Suppose that the U.S. Environmental Protection Agency reported the following sulphur dioxide emissions (in tons) for the 48 states in the continental United States for a particular year. State SO2 Emissions State SO2 Emissions State SO2 Emissions State SO2 Emissions AL 106,169 IN 268,231 NC 48,168 RI 30 AR 73,592 KS 30,035 ND 55,217 SC 26,793 AZ 23,703 KY 188,129 NE 65,838 SD 15,356 CA 241 LA 80,147 NH 3,181 TN 56,419 CO 38,301 MA 10,855 NJ 2,446 TX 365,521...
An article reported the following data on oxidation-induction time (min) for various commercial oils: 88 104...
An article reported the following data on oxidation-induction time (min) for various commercial oils: 88 104 130 160 180 195 132 145 213 105 145 151 153 136 87 99 95 119 129 (a) Calculate the sample variance and standard deviation. (Round your answers to three decimal places.) s2 = min2 s = min (b) If the observations were reexpressed in hours, what would be the resulting values of the sample variance and sample standard deviation? Answer without actually performing...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT