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SCENARIO 13-14-A
You Are the CEO of a Dairy Company

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SCENARIO 13-14-A
You are the CEO of a dairy company. You are planning to expand production by purchasing
additional cows, lands and hiring more workers. From the existing 50 farms owned by the company,
you have collected data on total milk production (in liters) and the number of milking cows. The data
are shown below and also available in the Excel file Scenario13-14-DataA.XLSX.  MILK 84729101969103314705747614486695876001052721204226874985541919101104651253691594701029301132141333281400861455141525891283041380931613682081362242052310901222041323111551541772681964492053248956294840949979762510222610383223967323986124129824919629445531887166483100459103847154141155516 COWS 1824221921192219241820252627292425282628272124273332322225262929282521232428253940403942471920212531\begin{array} { l r r r r r r r r r r } \text { MILK } & 84729 & 101969 & 103314 & 70574 & 76144 & 86695 & 87600 & 105272 & 120422 & 68749 \\& 85541 & 91910 & 110465 & 125369 & 159470 & 102930 & 113214 & 133328 & 140086 & 145514 \\& 152589 & 128304 & 138093 & 161368 & 208136 & 224205 & 231090 & 122204 & 132311 & 155154 \\& 177268 & 196449 & 205324 & 89562 & 94840 & 94997 & 97625 & 102226 & 103832 & 239673 \\& 239861 & 241298 & 249196 & 294455 & 318871 & 66483 & 100459 & 103847 & 154141 & 155516 \\\text { COWS } & 18 & 24 & 22 & 19 & 21 & 19 & 22 & 19 & 24 & 18 \\& 20 & 25 & 26 & 27 & 29 & 24 & 25 & 28 & 26 & 28 \\& 27 & 21 & 24 & 27 & 33 & 32 & 32 & 22 & 25 & 26 \\& 29 & 29 & 28 & 25 & 21 & 23 & 24 & 28 & 25 & 39 \\& 40 & 40 & 39 & 42 & 47 & 19 & 20 & 21 & 25 & 31\end{array} You believe that the number of milking cows is the best predictor for total milk production on any
given farm.
-Referring to Scenario 13-14-A, what percentage of the variation in total milk production can be
explained by the variation in the number of milking cows?

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Definitions:

Annual Compound Rates

The rate of return that is earned on an investment or paid on a loan when interest is compounded on an annual basis.

RRSP

The Registered Retirement Savings Plan (RRSP) is a Canadian investment vehicle for individuals to save for retirement, with contributions being tax-deductible and growth being tax-deferred.

Prison Population

The total number of individuals incarcerated in a prison system at a given time.

Decreasing Rate

A situation where the rate at which a value or quantity is reduced increases over time.

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