SCENARIO 14-20-B
You Are the CEO of a Dairy Company $\left( X _ { 1 } \right)$

question 61

Multiple Choice

SCENARIO 14-20-B
You are the CEO of a dairy company. You are planning to expand milk 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) , the number of milking cows, land size (in
acres) and the number of laborers. The data are shown below and also available in the Excel file
Scenario14-20-DataB.XLSX.
MILK 84686 101876 103248 70508 76072 86615 87508 105195 120351 68658
You believe that the number of milking cows $\left( X _ { 1 } \right)$ , land size $\left( X _ { 2 } \right)$ and the number of laborers $\left( X _ { 3 } \right)$ are the best predictors for total milk production on any given farm.
-Referring to Scenario 14-20-B, which of the following is a correct interpretation for the coefficient of partial determination $r _ { Y 1.23 } ^ { 2 }$ ?

• A) 69.00% of the total variation in total milk production can be explained by the number of laborers holding constant the effect of the number of milking cows and the land size.
• B) 69.00% of the total variation in total milk production can be explained by the land size holding constant the effect of the number of milking cows and the number of laborers.
• C) 69.00% of the total variation in total milk production can be explained by the number of milking cows holding constant the effect of the land size and the number of laborers.
• D) None of the above.

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