The manager of a retailer has been experiencing quite a few online "order errors" (i.e. retrieving the wrong item). A training program then introduced as the manger believes the source of these errors are due to being as an inexperienced workers who have never attended an on-job training session. The 37 collected randomly selected sample data in the excel file are provided with number of errors, whether the worker attended a training sessions (train=1, otherwise=0), years of experiences. a) Estimate two linear regression models - one with experience and train as independent variables, and another one with an extra feature for the interaction between experience and training. Both models come with an intercept. You can use basic excel (Data Analysis adds-in) or Minitab 19 for this part. b) Comments on coefficient of determination, and the significance of the estimated coefficients of both models. c) Clearly explain- in a nontechnical language- the followings: d) Significance or insignificance of the interaction term estimated in part (a). e) Interpretation of the estimated coefficients of both models. f) Report which model your group will go with for predicting the errors, and why? g) Use the selected model in part (d), and predict the number of errors for an employee with 20 years of experience who attended the training session as well as for an employee with 20 years of experiences who did not attend the session. Any comments? [No need to use Minitab 19 for this part]. h) Discuss any potential influential observations for both of the estimated models. i) List some other potential features may have impact on the errors made by workers of this retailer, and explain how you would collect data for these potential extra features.
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
I want a), b), c)
![Problem #4 Some parts of this Problem must be done in Excel some in Minitab 19
The manager of a retailer has been experiencing quite a few online "order errors" (i.e. retrieving
the wrong item). A training program then introduced as the manger believes the source of these
errors are due to being as an inexperienced workers who have never attended an on-job
training session. The 37 collected randomly selected sample data in the excel file are provided
with number of errors, whether the worker attended a training sessions (train=1, otherwise=D0),
years of experiences.
3
a) Estimate two linear regression models - one with experience and train as independent
variables, and another one with an extra feature for the interaction between experience
and training. Both models come with an intercept. You can use basic excel (Data
Analysis adds-in) or Minitab 19 for this part.
b) Comments on coefficient of determination, and the significance of the estimated
coefficients of both models.
c) Clearly explain- in a nontechnical language- the followings:
d) Significance or insignificance of the interaction term estimated in part (a).
e) Interpretation of the estimated coefficients of both models.
f) Report which model your group will go with for predicting the errors, and why?
g) Use the selected model in part (d), and predict the number of errors for an employee with
20
years
of experience who attended the training session as well as for an employee with
20 years of experiences who did not attend the session. Any comments? [No need to use
Minitab 19 for this part].
h) Discuss any potential influential observations for both of the estimated models.
i) List some other potential features may have impact on the errors made by workers of
this retailer, and explain how you would collect data for these potential extra features.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55beb9c1-b5ca-4a23-8f96-ea3d64328563%2Fc9546fbe-e5db-4454-bbd6-89951a5f43f8%2Fpbd6cf_processed.jpeg&w=3840&q=75)
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