An article in the Journal Environmental Engineering Division describes the results of testing a s…
![5. [18 points] An in the Journal Environmental Engineering Division describes the results of testing article Holston River Kingport, during August The of the a sample from the biochemical conducted over a period of time in days. The resulting data is oxygen demand (BOD) test is shown here: Time 12 10 ays 0.7 1.5 1.9 2.1 2.6 2.9 3.7 3.5 3.7 3.8 BOD 0.6 (a) Assuming that a simple linear regression model is appropriate, fit the regression model relating BOD (y) to the time (x). What is the estimate of o (b) What is the estimate of expected BoD level when the time is 15 days? (c) What change in mean BoD is expected when the time increase by 3 days? (d) Calculated the fitted yi for each value of xi used to fit the model. Then construct a graph of fitted yi versus the corresponding observed yi and comment on what this plot would look like the relationship between y and x was a deterministic (no random error) straight line. Does the plot indicate that time is an effective regressor variable in predicting BOD?](https://files.transtutors.com/questions/transtutors004/images/transtutors004_ba7771c7-4db8-4012-9612-9192c9cc0dea.png)
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An article in the Journal Environmental Engineering Division describes the results of testing a sample from the Holston River below Kingport, during August 1977, The biochemical oxygen demand (BOD) test is conducted over a period of time in days. The resulting data is shown here: Assuming that a simple linear regression model is appropriate, fit the regression model relating BOD (y) to the time (x). What is the estimate of sigma^2? What is the estimate of expected BOD level when the time is 15 days? What change in mean BOD is expected when the time increase by 3 days? Calculated the fitted y_i for each value of x_i used to fit the model. Then construct a graph of fitted y_i versus the corresponding observed y_i and comment on what this plot would look like the relationship between y and x was a deterministic (no random error) straight line. Does the plot indicate that time is an effective regressor variable in predicting BOD?
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