In biofiltration of wastewater, air discharged from a treatmentfacility is passed

Chapter 12, Problem 84

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In biofiltration of wastewater, air discharged from a treatmentfacility is passed through a damp porous membranethat causes contaminants to dissolve in water and be transformedinto harmless products. The accompanying data onx inlet temperature (C) and y removal efficiency (%)was the basis for a scatter plot that appeared in the articleTreatment of Mixed Hydrogen Sulfide and Organic Vaporsin a Rock Medium Biofilter(Water Environment Research,2001: 426435).a. Does a scatter plot of the data suggest appropriateness ofthe simple linear regression model?b. Fit the simple linear regression model, obtain a point predictionof removal efficiency when temperature 10.50,and calculate the value of the corresponding residual.c. Roughly what is the size of a typical deviation of pointsin the scatter plot from the least squares line?d. What proportion of observed variation in removal efficiencycan be attributed to the model relationship?e. Estimate the slope coefficient in a way that conveysinformation about reliability and precision, and interpretyour estimate.f. Personal communication with the authors of the articlerevealed that there was one additional observation thatwas not included in their scatter plot: (6.53, 96.55). Whatimpact does this additional observation have on the equationof the least squares line and the values of s and r2?