Assignment
Using R softwareand I need to show me
R code with word file
1. The objective of the experiment was to maximize the illumination of flares in candles. The four ingredients used were magnesium (x1), sodium nitrate (x2), strontium nitrate (x3) and a binder (x4). The response was the number of candles that illuminated. Assuming that the amount of binder was kept constant, the experimental design with response is given below
|
x1
|
x2
|
x3
|
y
|
|
0.4
|
0.1
|
0.47
|
75
|
|
0.4
|
0.1
|
0.42
|
180
|
|
0.6
|
0.1
|
0.27
|
195
|
|
0.6
|
0.1
|
0.22
|
300
|
|
0.4
|
0.47
|
0.1
|
145
|
|
0.4
|
0.42
|
0.1
|
230
|
|
0.6
|
0.27
|
0.1
|
220
|
|
0.6
|
0.22
|
0.1
|
350
|
|
0.5
|
0.1
|
0.345
|
220
|
|
0.5
|
0.345
|
0.1
|
260
|
|
0.4
|
0.2725
|
0.2725
|
190
|
|
0.6
|
0.1725
|
0.1725
|
310
|
|
0.5
|
0.235
|
0.235
|
260
|
|
0.5
|
0.21
|
0.21
|
410
|
|
0.5
|
0.2225
|
0.2225
|
425
|
a. Create a preliminary analysis and draw conclusions
b. Give a distribution for the errors (Justify your answer)
c. Is there overdispersion in this case? (Justify your answer)
d. Determine the best model for this situation (Model must fit well and be adequate)
e. Make a recommendation to the experimenter that meets the objective
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.