The table shows soybean production, in millions of tons, in Brazil's Cerrados region, as a function of the cultivated area, in millions of acres. Use technology to obtain the regression line. Round coefficients to two decimal places. $$\begin{array} { | l | l | l | l | l | l | }
\hline \text { Area (Millions of Acres) } \boldsymbol { x } & 25 & 30 & 32 & 40 & 52 \
\hline \text { Production (Millions of Tons) } - \boldsymbol { y } & 14 & 25 & 30 & 40 & 60 \
\hline
\end{array}$$
A) $y = 1.64 x - 24.94$
B) $y = 1.64 x + 24.94$
C) $y = 16.4 x + 24.94$
D) $y = - 1.64 x - 24.94$
E) $y = - 16.4 x + 24.94$

Question

The table shows soybean production, in millions of tons, in Brazil's Cerrados region, as a function of the cultivated area, in millions of acres. Use technology to obtain the regression line. Round coefficients to two decimal places. $$\begin{array} { | l | l | l | l | l | l | } 
\hline \text { Area (Millions of Acres) } \boldsymbol { x } & 25 & 30 & 32 & 40 & 52 \
\hline \text { Production (Millions of Tons) } - \boldsymbol { y } & 14 & 25 & 30 & 40 & 60 \
\hline
\end{array}$$ 
A) $y = 1.64 x - 24.94$
B)  $y = 1.64 x + 24.94$
C)  $y = 16.4 x + 24.94$
D)  $y = - 1.64 x - 24.94$
E)  $y = - 16.4 x + 24.94$

Quizplus · Accepted Answer

Using a linear regression analysis tool, the coefficients for the regression line that best fits the given data points can be calculated. The correct regression equation is $y = 1.64x - 24.94$, which indicates that for every additional million acres of area cultivated, soybean production increases by 1.64 million tons, starting from a base production level when x is zero.

The Table Shows Soybean Production, in Millions of Tons, in Brazil's