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Q.1) An experiment was designed to compare several different types of air pollution monitors. The monitor was set up, and then exposed to different concentrations of ozone, ranging between 15 and 230 parts per million (ppm) for periods of 8-72 hours. Filters on the monitor were then analyzed, and the amount (in micrograms) of sodium nitrate (NO3) recorded by the monitor was measured. The results for one type of monitor are given in the table.
Ozone, x (ppm/hr) .8 1.3 1.7 2.2 2.7 2.9
NO3, y (mg) 2.44 5.21 6.07 8.98 10.82 12.16
a. Find the linear regression equation relating the monitor's response to the ozone concentration.
b. Do the data provide sufficient evidence to indicate ___that there is a linear relationship between the ozone concentration and the amount of sodium nitrate detected?
c. Calculate r2. What does this value tell you about the effectiveness of the linear regression analysis?
Be sure to specifically identify the statistical formulas and what additional data you would need to determine your estimate(s).
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