Temp Cycle Y 1 Absent 21.60 1 Absent 21.09 1 Absent 21.60 1 Absent 19.57 2 Absent 11.54 2 Absent 11.14 2 Absent 11.75 2 Absent 11.69 3 Absent 19.09 3 Absent 19.50 3 Absent 21.31 3 Absent 20.11 4...

Temp	Cycle	Y
1	Absent	21.60
1	Absent	21.09
1	Absent	21.60
1	Absent	19.57
2	Absent	11.54
2	Absent	11.14
2	Absent	11.75
2	Absent	11.69
3	Absent	19.09
3	Absent	19.50
3	Absent	21.31
3	Absent	20.11
4	Absent	13.11
4	Absent	11.26
4	Absent	13.72
4	Absent	12.09
1	Present	21.60
1	Present	22.17
1	Present	21.86
1	Present	21.86
2	Present	11.50
2	Present	11.32
2	Present	9.82
2	Present	11.18
3	Present	21.08
3	Present	20.44
3	Present	21.66
3	Present	20.44
4	Present	11.72
4	Present	12.82
4	Present	13.03
4	Present	12.29

2. A two-factor experiment was conducted to study how the thrust of a small rocket engine is affected by varying altitude cycling (present or absent) and temperature (four levels) Four engines were tested under each factor level combination. The data are given below:
a) make the main effects and interaction plots. What do the plots
suggest
about the effects of altitude cycling and temperature on the rocket thrust?
b) Which effects if any are statistically significant?
C) Make residual plots to check the normality and constant variance assumptions.



Temp Cycle Y 1 Absent 21.60 1 Absent 21.09 1 Absent 21.60 1 Absent 19.57 2 Absent 11.54 2 Absent 11.14 2 Absent 11.75 2 Absent 11.69 3 Absent 19.09 3 Absent 19.50 3 Absent 21.31 3 Absent 20.11 4 Absent 13.11 4 Absent 11.26 4 Absent 13.72 4 Absent 12.09 1 Present 21.60 1 Present 22.17 1 Present 21.86 1 Present 21.86 2 Present 11.50 2 Present 11.32 2 Present 9.82 2 Present 11.18 3 Present 21.08 3 Present 20.44 3 Present 21.66 3 Present 20.44 4 Present 11.72 4 Present 12.82 4 Present 13.03 4 Present 12.29 2. A two-factor experiment was conducted to study how the thrust of a small rocket engine is affected by varying altitude cycling (present or absent) and temperature (four levels) Four engines were tested under each factor level combination. The data are given below: a) make the main effects and interaction plots. What do the plots suggest about the effects of altitude cycling and temperature on the rocket thrust? b) Which effects if any are statistically significant? C) Make residual plots to check the normality and constant variance assumptions.