Module 8-9 Exam
1) Given the following information, determine the equation for the unit formulation.
(Round intermediate calculations to 4 decimal places)
[Table Description: Table listing Unit Number (X) and Unit Cost ($Y). Unit 1 = $700, Unit
2 = $600, Unit 3 =$548.27, Unit 4= $514.29]
Unit Number (X) Unit Cost (Y) $
1 700.00
2 600.00
3 548.27
4 514.29
Y = (700)(X) -0.0539
Y = (700)(X) 0.9633
Y = (700)(X) -0.2224
Y = (700)(X) 0.8571
Step-by-Step explanation
From options we see that general form of equation is Y=700(X)^a
Now we just need to find value of a from the data given .
First put x=2,Y=600 we get
600=700× 2^a ------(1)
put x=3 Y=548.27 we get
548.27=700× 3^a-----(2)
Solving 1 and 2 we get
a=-0.2224
Therefore equation is
Y=700X^(-0.2224) option c
2) You are estimating the install hours for an electronics upgrade based on the number of
components affected. The upgrade for which you are estimating affects 36 components.
Given the following equation, select the correct response from each pair.
Install Hours = 2.60 + 2.15 (# Components)
The independent variable is # Components
The independent variable is Install Hours
The slope is 2.15
, The slope is 2.60
The estimated install hours for your upgrade is 80.00 hours
The estimated install hours for your upgrade is 95.75 hours
Step-by-Step explanation
The independent variable is referring to the characteristic of an experiment that is
manipulated or even changed by the researchers, and not by the other variables in the
experiment or study. An independent variable is a factor which can be varied in an
experiment such as the time, temperature, concentration and components. In the given
question, the independent variable is the # components (number of the components).
The slope in the given equation is 2.15 since it is the value or the coefficient that can be
multiplied to the variable which is the # Components.
The estimated install hours for your upgrade is computed using the given equation.
Install Hours= 2.60 + 2.15 (# Components)
The number of components is 36. Substitute it to the equation. It will be:
Install Hours = 2.60 + 2.15(36)
Install Hours = 2.60 + 77.40
Install Hours = 80 hours
Therefore, the estimated install hours for your upgrade is 80 hours.
3) If we have significant variation in the data, our options include (choose three):
1) Given the following information, determine the equation for the unit formulation.
(Round intermediate calculations to 4 decimal places)
[Table Description: Table listing Unit Number (X) and Unit Cost ($Y). Unit 1 = $700, Unit
2 = $600, Unit 3 =$548.27, Unit 4= $514.29]
Unit Number (X) Unit Cost (Y) $
1 700.00
2 600.00
3 548.27
4 514.29
Y = (700)(X) -0.0539
Y = (700)(X) 0.9633
Y = (700)(X) -0.2224
Y = (700)(X) 0.8571
Step-by-Step explanation
From options we see that general form of equation is Y=700(X)^a
Now we just need to find value of a from the data given .
First put x=2,Y=600 we get
600=700× 2^a ------(1)
put x=3 Y=548.27 we get
548.27=700× 3^a-----(2)
Solving 1 and 2 we get
a=-0.2224
Therefore equation is
Y=700X^(-0.2224) option c
2) You are estimating the install hours for an electronics upgrade based on the number of
components affected. The upgrade for which you are estimating affects 36 components.
Given the following equation, select the correct response from each pair.
Install Hours = 2.60 + 2.15 (# Components)
The independent variable is # Components
The independent variable is Install Hours
The slope is 2.15
, The slope is 2.60
The estimated install hours for your upgrade is 80.00 hours
The estimated install hours for your upgrade is 95.75 hours
Step-by-Step explanation
The independent variable is referring to the characteristic of an experiment that is
manipulated or even changed by the researchers, and not by the other variables in the
experiment or study. An independent variable is a factor which can be varied in an
experiment such as the time, temperature, concentration and components. In the given
question, the independent variable is the # components (number of the components).
The slope in the given equation is 2.15 since it is the value or the coefficient that can be
multiplied to the variable which is the # Components.
The estimated install hours for your upgrade is computed using the given equation.
Install Hours= 2.60 + 2.15 (# Components)
The number of components is 36. Substitute it to the equation. It will be:
Install Hours = 2.60 + 2.15(36)
Install Hours = 2.60 + 77.40
Install Hours = 80 hours
Therefore, the estimated install hours for your upgrade is 80 hours.
3) If we have significant variation in the data, our options include (choose three):
