The Data Below Are the Gestation Periods, in Months, of Randomly

question 15

Essay

The data below are the gestation periods, in months, of randomly selected animals and their corresponding life
spans, in years. Construct a scatter plot for the data. Determine whether there is a positive linear correlation, a
negative linear correlation, or no linear correlation. $$\begin{array} { l | l l l l l l l l } \text { Gestation, } \mathrm { x } & 8 & 2.1 & 1.3 & 1 & 11.5 & 5.3 & 3.8 & 24.3 \\\hline \text { Life span, } \mathrm { y } & 30 & 12 & 6 & 3 & 25 & 12 & 10 & 40\end{array}$$

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Definitions:

Required Return

The minimum expected return by investors for investing in a particular asset, taking into account the risk level of the investment.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, widely used in finance to assess the risk of a financial instrument.

Probability Distribution

An analytical function detailing each potential outcome and its probability for a random variable within a set interval.

Variability

The extent to which data points in a dataset differ from each other and from the mean, often used in statistics.