Provide an Appropriate Response
-Which of the Following Statements Are $f : \mathscr { R } ^ { \mathrm { n } } \rightarrow \mathscr { R } ^ { \mathrm { m } }$

question 38

Multiple Choice

Provide an appropriate response
-Which of the following statements are true?
I: Suppose $f : \mathscr { R } ^ { \mathrm { n } } \rightarrow \mathscr { R } ^ { \mathrm { m } }$ is a linear transformation and $\mathrm { S }$ is a convex subset of $\mathcal { R } ^ { \mathrm { n } }$ . It follows that the set of images $f ( S )$ is a convex subset of $R ^ { m }$ .
II: If $A \subset B$ , then conv $A \subset B$ .

• A) II
• B) I
• C) Both I and II
• D) Neither I or II

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Definitions:

Inferential

Pertaining to inferential statistics, which involves making predictions or inferences about a population based on a sample of data.

Variability

The degree to which scores in a set of data are spread out or differ from each other.

Asymmetrical Distribution

A situation in statistical data where the values do not mirror each other across a central point.

Positively Skewed

A distribution where the majority of scores fall on the low end of the distribution and the asymmetrical tail extends into the positive side of the graph.