Compute the Linear Correlation Coefficient Between the Two Variables and Determine

question 54

Multiple Choice

Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists.
-The table below shows the ages and weights (in pounds) of 9 randomly selected tennis coaches.
$\begin{array}{l|c|c|c|c|c|c|c|c|c|}\text { Age, } \mathrm{x} & 33 & 36 & 40 & 43 & 46 & 48 & 52 & 56 & 60 \\\hline \text { Weight (pounds) , } \mathrm{y} & 117 & 121 & 124 & 132 & 143 & 146 & 149 & 151 & 153 \\\hline\end{array}$

• A) \(\mathrm { r } = 0.960\); linear relation exists
• B) \(r = 0.960\); no linear relation exists
• C) \(\mathrm { r } = 0.908\); no linear relation exists
• D) \(\mathrm { r } = 0.908\); linear relation exists

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Definitions:

Weighted Average

A calculation that takes into account the varying degrees of importance of the numbers in a data set.

Component Cost

The expense associated with acquiring or manufacturing each individual part of a product or service.

Flotation Cost

The total costs associated with issuing new securities, including underwriting fees and other expenses.

Preferred Stock

A class of ownership in a corporation that has a higher claim on assets and earnings than common stock, typically with dividends that are paid out before those of common stocks.