Answer all the question above.

n=6

5. The data of pollutants in the water (in particles/liter) and factory ratio (per square km) for the randomly selected states are given as follows. x=2256,=1690322y=3088,xy=1283269,x2=1079380,y2 (a) Show in calculation that the slope value is 0.529 and interpret its value in the context of the problem. (b) Calculate the confidence interval for the slope. (Answer: -0.02176, 1.0798) (c) If the ratio of factory per square meter is 250 , estimate the mean pollutants in the water (per liter). (Answer: 315.895) (d) Calculate the mean prediction interval for the estimation in (c). (Answer: -9.5134, 641.3033)