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An article in the Journal of the Environmental Engineering Division (Least Squares Estimates of BOD Parameters, Vol. 106, 1980, pp. 1197-1202) describes the results of
An article in the Journal of the Environmental Engineering Division ("Least Squares Estimates of BOD Parameters," Vol. 106, 1980, pp. 1197-1202) describes the results of testing a sample from the Holston River below Kingport, TN, during August 1977. The biochemical oxygen demand (BOD) test is conducted over a period of time in days. The resulting date is shown below: Time (days) |BOD (me/liter) 1 0.6 2 0.7 4 15 6 19 8 2.1 10 2.6 12 2.9 14 3.7 16 3.5 18 3.7 20 3.8 Minitab output resulting from fitting a simple linear regression model with time as the explanatory variable and BOD as the response follows. Predictor Coef SE Coef T Constant 0.6578 0.1657 3.97 0.003 Time 0.17806 0.01400 12.72 0.000 5 = 0.287281 R-Sq = 94.7% R-Sq(adj) = 94.1% Analysis of Variance Source DE MS Regression 1 13.344 13.344 161.69 0.000 Residual 0.743 0.083 Error Total 10 14.0871 1 X What is the estimate of 6-? Round your final answer to 3 decimal places. (b) What is the estimate of expected BOD level when the time is 17 days? Round your final answer to 3 decimal places. i (c) What change in mean BOD is expected when the time increases by 5 days? Round your final answer to 4 decimal places. i (d) Suppose the time used is 14 days. Calculate the fitted value of yand the corresponding residual. Round your final answers to 4 decimal places. i 1
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