Table B. 2 presents data collected during a solar energy project at Georgia Tech.

a. Fit a simple linear regression model relating total heat flux $y$ (kilowatts) to the radial deflection of the deflected rays $x_{4}$ (milliradians).

b. Construct the analysis-of-variance table and test for significance of regression.

c. Find a $99 %$ CI on the slope.

d. Calculate $R^{2}$.

e. Find a $95 %$ CI on the mean heat flux when the radial deflection is milliradians.

y 31 X3 X4 271.8 783.35 33.53 40.55 16.66 13.20 264.0 748.45 36.50 36.19 16.46 14.11 238.8 684.45 34.66 3731 1766 15.68 230.7 82780 33.13 32.52 1750 10.53 251.6 860.45 35.75 33.71 16.40 11.00 2579 875.15 34.46 34.14 16.28 11.31 263.9 909.45 34.60 34.85 16.06 11.96 266.5 905.55 35.38 35.89 15.93 12.58 229.1 756.00 35.85 33.53 16.60 10.66 239.3 769.35 35.68 33.79 16.41 10.85 258.0 793.50 35.35 34.72 16.17 11.41 2576 801.65 35.04 35.22 15.92 11.91 2673 819.65 34.07 36.50 16.04 12.85 2670 808.55 32.20 3760 16.19 13.58 259.6 774.95 34.32 3789 16.62 14.21 240.4 711.85 31.08 3771 1737 15.56 2272 694.85 35.73 3700 18.12 15.83 196.0 638.10 34.11 36.76 18.53 16.41 278.7 774.55 34.79 34.62 15.54 13.10 272.3 75790 35.77 35.40 15.70 13.63 2674 753.35 36.44 35.96 16.45 14.51 254.5 704.70 3782 36.26 1762 15.38 224.7 666.80 35.07 36.34 18.12 16.10 181.5 568.55 35.26 35.90 19.05 16.73 2275 653.10 35.56 31.84 16.51 10.58 253.6 704.05 35.73 33.16 16.02 11.28 263.0 709.60 36.46 33.83 15.89 11.91 265.8 726.90 36.26 34.89 15.83 12.65 263.8 69715 3720 36.27 16.71 14.06