Use the Data Given Below to Answer the Following Question(s)

question 21

Multiple Choice

Use the data given below to answer the following question(s) .
15 students were asked to choose between the broad categories of Arts, Science, and Math as their preferred area of study.
$\begin{array}{|c|c|c|}\hline \text { Respondent } & \text { Gender } & \text { Preference } \\\hline 1 & \text { Female } & \text { Art.s } \\\hline 2 & \text { Male } & \text { Science } \\\hline 3 & \text { Male } & \text { Math } \\\hline 4 & \text { Female } & \text { Art.s } \\\hline 5 & \text { Female } & \text { Math } \\\hline 6 & \text { Male } & \text { Science } \\\hline 7 & \text { Male } & \text { Math } \\\hline 8 & \text { Male } & \text { Math } \\\hline 9 & \text { Female } & \text { Art.s } \\\hline 10 & \text { Male } & \text { Art.s } \\\hline 11 & \text { Male } & \text { Science } \\\hline 12 & \text { Female } & \text { Science } \\\hline 13 & \text { Female } & \text { Math } \\\hline 14 & \text { Male } & \text { Art.s } \\\hline 15 & \text { Female } & \text { Art.s }\end{array}$
-Use the multiplication law of probability to compute the probability that the respondent is male and prefers Math.

• A)\(\frac{8}{75}\)
• B)\(\frac{3}{8}\)
• C)\(\frac{3}{225}\)
• D)\(\frac{3}{15}\)

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Definitions:

Regression Equation

A statistical formula that models the relationship between a dependent variable and one or more independent variables, predicting values within a dataset.

Advertising

The activity or profession of producing advertisements for commercial products or services, aimed at influencing the buying behavior of consumers.

Regression Lines

lines of best fit used in statistical analysis to represent the relationship between a dependent variable and one or more independent variables.

Cause-and-effect Relationships

A relationship in which one event (the cause) makes another event happen (the effect), often used in problem-solving and decision-making to identify the root causes of issues.