PART a Some Entertainers Are Not Magicians, for Some Comedians

question 57

Essay

PART A Some entertainers are not magicians, for some comedians are not magicians and some magicians that are not comedians are entertainers.
Which of the following correctly expresses the form of this argument? a. $\begin{array} { l } \text {Some \( \mathrm{C} \) are not \( \mathrm{M} \)}\\ \text {Some M are E. }\\ \hline\text {Some \( E \) are not \( M \) }\\\end{array}$$\quad$ b. $\begin{array} { l } \text {Some \( M \) that are not \( \mathrm{C} \) are \( \mathrm{E} \). }\\ \text { Some E are not M. }\\ \hline\text { Some \( \mathrm{C} \) are not \( \mathrm{M} \).}\\\end{array}$

c. $\begin{array} { l } \text {Some \( \mathrm{C} \) are not \( \mathrm{M} \). }\\ \text {Some M that are not C are \( \mathrm{E} \). }\\ \hline\text { Some E are not M. }\\\end{array}$$\quad$ d. $\begin{array} { l } \text {Some \( E \) are not \( \mathrm{M} \). }\\ \text {Some C are not M. }\\ \hline\text { Some M that are not \( \mathrm{C} \) are \( \mathrm{E} \).}\\\end{array}$

e. $\begin{array} { l } \text {Some E are not M. }\\ \text { Some C are not M. }\\ \text {All M that are not C are \( \mathrm{E} \). }\\\end{array}$ PART B
Which of the following substitutions proves the argument invalid?
A) M = mammals, C = animals, E = dogs.
B) M = cats, C = trees, E = animals.
C) M = mammals, C = cats, E = animals.
D) M = animals, C = trees, E = cats.
E) M = fish, C = dogs, E = mammals.

• A) M = mammals, C = animals, E = dogs.
• B) M = cats, C = trees, E = animals.
• C) M = mammals, C = cats, E = animals.
• D) M = animals, C = trees, E = cats.
• E) M = fish, C = dogs, E = mammals.

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Definitions:

Variance

A measure of the dispersion, indicating how spread out the data points are from the mean.

Response Variable

Another word for the dependent variable of interest.

Regression Analysis

A statistical method used to model the relationship between a dependent variable and one or more independent variables.

Dependent Variable

In statistical modeling, this is the variable being tested and measured to see if it is affected by changes in the independent variables.