Statistics:

for the first two questions:

An engineer is attempting to model the relationship between the amount of electrical energy used and the amount of steel produced in a small steel mill in a 24-hour period. They collect the data found in LinReg2.csv Minimize File Preview - ZOOM + Steel Produ Energy Used (kwh) 3478 13791 3200 14172 3840 15395 3422 15316 4946 19185 3674 17141 3570 13818 4621 19627 3158 12452 3222 13933 3988 16717 4956 20173 4245 15181 3619 15427\fQuestion 4 1 pts Suppose we have computed [from data} a test statistic tn: 1.5T. Compute the associated Pvalue. C: 0.001 c: 0.011 D 0.02? C) 0.109 c: 0.13? 0 0.155 C; 0.201 D 0.2511 c: 0.259 C: {1293 Question 1 1 pts Use this model to predict how many kilograms of steel could be produced with 10,000 kwh of energy. O 155 O 657 O 711 O 1079 O 1295 O 1365 O 1806 O 2029 O 2161 O 2179Question 2 What percentage of variability is accounted for by your model? {31.2 D 23.? D 31.3 D 51.3 D 33.3 D 31.2 :3 32.3 D 33.4 D 33.3 D 916: Environmental engineers need to minimize the time required to compost a municipality's green waste. They.r create a single replica 24 experiment to test the effect of the following factors on time to finish a batch of compost: (A) moisture level, (B) oxygen level. (C) amount of compost starter added, {D} size of shredded materials. Running this experiment. they obtain the data in pDeszcsv i Minimize File Preview A (MoisturEB [Oxygen C (Weight in {Matelial Time to Finished Compost {Days} -1 -1 -1 -1 30.00 1 -1 -1 -1 42.00 -1 1 -1 -1 13.00 1 1 -1 -1 21.00 -1 -1 1 -1 41.00 1 -1 1 -1 41.00 -1 1 1 -1 1?.00 1 1 1 -1 19.00 -1 -1 -1 1 53.00 1 -1 -1 1 1'900 -1 1 -1 1 24.00 1 1 -1 1 56.00 -1 -1 1 1 53.00 1 -1 1 1 31.00 -1 1 1 1 26.00 1 1 1 1 52.00 Question 1 Which factors and factor interactions are significant? Factor A Factor B O Factor C O Factor D O Interaction AB O Interaction AC O Interaction AD O Interaction BC O Interaction BD O Interaction CD Question 2 Can factors A and B be optimized individually? O You can optimize factors A and B individually. O You must optimize factors A and B jointly.Question 3 Can factors A and D be optimized individually? O You can optimize factors A and D individually. O You must optimize factors A and D jointly.For questions 1-2: Suppose we desire to perform the following two-sided hypothesis test on the mean of a population (the variance is not known): Ho: H = Ho H1: H = Ho We have n = 12 samples. For questions 3-4: Suppose we desire to perform the following two-sided hypothesis test on the mean of a population (the variance is not known): Ho: P = Ho H1: W / Ho We have n = 9 samples.\fQuestion 2 1 pts Suppose we have computed (from data) a test statistic to= -1.47. Compute the associated P-value. O 0.054 O 0.105 O 0.115 O 0.170 O 0.208 O 0.222 O 0.239 O 0.262 O 0.275 0.286