Use RStudio for solving the problems

In this problem, we evaluate an experiment to understand certain factors within the manufacturing process of a silver powder used in silicon wafer manufacturing. Specifically, we want to know the impact of Stir Rate (in RPM), Ammonium Concentration (in %), and Temperature (in deg C) on the density (in g/cm3 ) of the powder. The data from the experiment is contained in silver.csv.

	Stir_Rate	Ammonium	Temperature	Density
1	100	2	8	14.68
2	100	2	8	15.18
3	100	30	8	15.62
4	100	30	8	16.98
5	150	2	8	7.54
6	150	2	8	6.66
7	150	30	8	12.46
8	150	30	8	12.62
9	100	2	40	13.95
10	100	2	40	14.95
11	100	30	40	13.65
12	100	30	40	14.96
13	150	2	40	8.03
14	150	2	40	8.84
15	150	30	40	13.79
16	150	30	40	12.94

(a) Analyze these data with a view to which factors and interactions have highly significant effects, and which levels within these factors are different. Report on all steps necessary for a proper ANOVA.

(b) Based on the outcome of this experiment, identify specific operating conditions for the process that will maintain a silver power density less than 14 g/cm3 .