(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
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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 vehicle
characteristics to consider as possible predictors to build a multiple linear model: Engine Displace-
ment, Horsepower, Torque, Compression ratio, Rear axle ratio, Carburetor, Number of transmission
speeds, overall length, width, weight, and Type of transmission (automatic or manual). We can
now 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. Based
on these values, which model would you say is better?
Using the table of summary values below for 3 different models, and that we have
Model
Predictors included in each model
Residual Standard Error
all 11 predictors
Displacement, Horsepower, Torque, Number of
Transmission Speeds, Weight
Model 1
3.227
Model 2
3.245
Model 3 Displacement, Horsepower, Weight
3.171
(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 are
considering?
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. Below
is a summary of each of these models.
Suppose we consider the smallest model (model 3 from part (a)). We can fit a
Response
Displacement
Horsepower
Weight
Predictors
Residual SE
Sample Variance of Response
Horsepower, Weight
Displacement, Weight
Displacement, Horsepower
27.21
13511.05
15.64
1993.689
299.1
885420.2
Find the Variance Inflation Factor of each predictor. Should we be concerned about multi-
collinearity in the model 3 from (a)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e6fa833-731b-43a4-992e-8027346373b9%2F84a83b02-c921-48b6-8d15-3b170640899d%2Frq743p_processed.png&w=3840&q=75)
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