Problem 11.13 The data listed in the next table come from an experiment to study the effects of three environmental variables on exhaust emissions of light-duty diesel trucks. Fit the Model (Y = NOx| X1 = Humidity, X2 = Temperature, X3 = Barometric pressure). Test the null hypothesis H0 : βi = 0, (i = 1, 2, 3) against H1 : at least one βi

= 0.

NOx (ppm) Humidity (%) Temperature (oF) Barometric Pressure (in. Hg) 0.70 96.5 78.1 29.08 0.79 108.72 87.93 29.98 0.95 61.37 68.27 29.34 0.85 91.26 70.63 29.03 0.79 96.83 71.02 29.05 0.77 95.94 76.11 29.04 0.76 83.61 78.29 28.87 0.79 75.97 69.35 29.07 0.77 108.66 75.44 29.00 0.82 78.59 85.67 29.02 1.01 33.85 77.28 29.43 0.94 49.20 77.33 29.43 0.86 75.75 86.39 29.06 0.79 128.81 86.83 28.96 0.81 82.36 87.12 29.12 0.87 122.60 86.20 29.15 0.86 124.69 87.17 29.09 0.82 120.04 87.54 29.09 0.91 139.47 87.67 28.99 0.89 105.44 86.12 29.21