Please solve using RStudio (pls include all RStudio codes). Thx for your help! (The table below consists of 30 obs. of 3 variables)

Question details:

An experiment was conducted to determine the effect of recipe and baking temperature on breaking angle of a chocolate cake. Breaking angle is a measure of cake quality. Six different chocolate cake recipes are considered and baked at a different temperature which was randomly assigned.

Angle	Angle at which the cake broke
Recipe	Recipe that was used for the cake
Temp	Temperature at which the cake was baked: Levels are 175C 185C 195C 205C 215C 225C

c) [15 marks] Analyse the data, stating null and alternative hypothesis for each test, and check assumptions. Hints:

• Write down full interaction model

• Write down hypothesis about the interaction term

• Perform Two-way analysis and show that the interaction term is insignificant

• Include model diagnostics

• Interpret the results

• Try log transformed response variable log(Angle) and compare results

• Write down hypothesis for testing the main effects

• Include model diagnostics (again)

Temp Recipe Angle 1 1850 46 2 175C A 47 3 1950 A 35 4 205C A 47 5 215C A 57 6 2250 A 45 7 175C A 32 8 185C A 32 9 1950 37 10 2050 . 43 11 215C 45 12 2250 A 45 13 175C A 26 14 1850 A 32 15 1950 A 35 16 205C A 24 17 215C A 39 18 225C A 26 19 175C A 28 20 185C A 30 21 1950 31 22 2050 A 37 23 215C A 41 24 225C A 47 25 175C A 24 26 185C A 22 27 195C A 22 28 205C A 29 29 215C A 35 30 225C A 26 Temp Recipe Angle 1 1850 46 2 175C A 47 3 1950 A 35 4 205C A 47 5 215C A 57 6 2250 A 45 7 175C A 32 8 185C A 32 9 1950 37 10 2050 . 43 11 215C 45 12 2250 A 45 13 175C A 26 14 1850 A 32 15 1950 A 35 16 205C A 24 17 215C A 39 18 225C A 26 19 175C A 28 20 185C A 30 21 1950 31 22 2050 A 37 23 215C A 41 24 225C A 47 25 175C A 24 26 185C A 22 27 195C A 22 28 205C A 29 29 215C A 35 30 225C A 26