(Agriculture). Table 3 shows the yield (in bushels per acre) and the total production (in millions of bushels) for corn in the United States for selected years since 1950. (Use 4 decimal places in all answers.) Table 3: US Corn Production Year Yield (bushels per acre) Total Production (million bushels) 1950 37.6 2,782 1960 55.6 3,479 1970 81.4 4,802 1980 97.7 6,867 1990 115.6 7,802 2000 139.6 10,192 A. Let x represent years since 1900 and find the logarithmic model for the yield. Y(x) =        B. What is the r2 value for the equation in part A? r2 =        C. Let x represent years since 1900 and find the logarithmic model for the production. P(x) =        D. What is the r2 value for the equation in part C? r2 =

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(Agriculture). Table 3 shows the yield (in bushels per acre) and the total production (in millions of bushels) for corn in the United States for selected years since 1950. (Use 4 decimal places in all answers.)

Table 3: US Corn Production

Year Yield (bushels per acre) Total Production (million bushels)
1950 37.6 2,782
1960 55.6 3,479
1970 81.4 4,802
1980 97.7 6,867
1990 115.6 7,802
2000 139.6 10,192


A. Let x represent years since 1900 and find the logarithmic model for the yield.
Y(x) = 

 
 
 


B. What is the r2 value for the equation in part A?
r2 = 

 
 
 


C. Let x represent years since 1900 and find the logarithmic model for the production.
P(x) = 

 
 
 


D. What is the r2 value for the equation in part C?
r2 = 

 
 
 

 

 
 
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