please do d) An engineer is interested in finding a model that can explain the variation in gas mileage of cars (Y,in miles per gallon) using various characteristics of each vehicle model. The engineer has 11 vehiclecharacteristics to consider as possible predictors to build a multiple linear model: Engine Displace-ment, Horsepower, Torque, Compression ratio, Rear axle ratio, Carburetor, Number of transmissionspeeds, overall length, width, weight, and Type of transmission (automatic or manual). We cannow consider a few different models and attempt to determine which model is better.(a)taken a sample of 30 vehicles, compute the AIC for each of the three models presented. Basedon these values, which model would you say is better?Using the table of summary values below for 3 different models, and that we haveModelPredictors included in each modelResidual Standard Errorall 11 predictorsDisplacement, Horsepower, Torque, Number ofTransmission Speeds, WeightModel 13.227Model 23.245Model 3 Displacement, Horsepower, Weight3.171(b)models. Based on this, would we prefer the same model as in part (a)?Using the above summary table, calculate the corrected AIC for each of the above(c)us a more reasonable preferred model) based on the data and number of predictors we areconsidering?Which of the AIC or the corrected AIC should be preferred (i.e. trusted to give(d)adjusted coefficient of determination for each of the models in (a). Based on this measure,which model is preferred?Now, knowing that the sample variance of gas mileage is 39.28 MPG, find the(e)model using each predictor as a response using the remaining predictors as predictors. Belowis a summary of each of these models.Suppose we consider the smallest model (model 3 from part (a)). We can fit aResponseDisplacementHorsepowerWeightPredictorsResidual SESample Variance of ResponseHorsepower, WeightDisplacement, WeightDisplacement, Horsepower27.2113511.0515.641993.689299.1885420.2Find the Variance Inflation Factor of each predictor. Should we be concerned about multi-collinearity in the model 3 from (a)?

Name: please do d) An engineer is interested in finding a model that can exp
Uploaded: 2024-03-05T11:52:21.000Z
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Description: please do d) An engineer is interested in finding a model that can explain the variation in gas mileage of cars (Y,in miles per gallon) using various characteristics of each vehicle model. The engineer has 11 vehiclecharacteristics to consider as pos