The following data is representative of that reported in an article on nitrogen

Question

The following data is representative of that reported in an article on nitrogen emissions, with x = burner area liberation rate (MBtu/hr-ft2) and ? = NOx emission rate (ppm): x 100 125 125 150 150 200 200 250 250 300 300 350 400 400 140 140 190 220 190 320 290 390 440 450 390 590 610 680 (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.) (b) What is the estimate of expected NOx emission rate when burner area liberation rate equals 250? (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 Need Help? k er

Explanation / Answer

Solution :-

(a) y = ?43.719 + 1.713?x

(b) => ?43.719 + (1.713*250) = 384.531

(c) => Estimate expected change, b = 1.713
= -50b = -50*1.713 = -85.65

(d) => option C.

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