The Environmental Protection Agency establishes industrial and occupational standards for the ambien

The Environmental Protection Agency establishes industrial and occupational standards for the ambient air quality of total suspended particulates. The high-volume air sampler—the standard device used for sampling total suspended particulates—collects suspended particulates on large filters. The name high-volume is derived from the fact that the air sampler has a high sampling flow rate (measured in standard cubic meters per minute). Because of this high flow rate, large quantities of particles are collected over a 24-hour sampling period. However, the flow rate will vary depending on the pressure drop (in inches of water) across the filter medium. An experiment was conducted to investigate the relationship between flow rate and pressure drop. Eight sampling environments in which the high-volume air sampler was implemented yielded the measurements on average flow rate (y) and pressure drop across filter (x) listed in the table.

a. Use the data to develop a simple linear model for predicting the average flow rate of the high-volume air sampler based on the pressure drop of the filter.

b. Is the model of part a useful for predicting flow rate? (Use α = .05.)

c. Using a 95% prediction interval, predict the flow rate in a sampling environment in which the pressure drop across the filter is 11 inches of water.