Table 14.1
The Agricultural Extension Agent's Office has tracked fertilizer application and crop yields for a variety of chickpea and has recorded the data shown in the following table.Their staff statistician developed the regression model and computed the performance statistics displayed below the data.
-Use the information in Table 14.1.If the correlation coefficient were negative,what would also be true?
A)The coefficient of determination would also be negative.
B)An increase in fertilizer would result in a decrease in crop yield.
C)Applying no fertilizer would mean a negative crop yield.
D)The standard error would also be negative.

Question

Table 14.1
The Agricultural Extension Agent's Office has tracked fertilizer application and crop yields for a variety of chickpea and has recorded the data shown in the following table.Their staff statistician developed the regression model and computed the performance statistics displayed below the data. 
-Use the information in Table 14.1.If the correlation coefficient were negative,what would also be true?
A)The coefficient of determination would also be negative. 
B)An increase in fertilizer would result in a decrease in crop yield. 
C)Applying no fertilizer would mean a negative crop yield. 
D)The standard error would also be negative.

Quizplus · Accepted Answer

If the correlation coefficient were negative, it would mean that as the amount of fertilizer applied increases, the crop yield decreases. Therefore, an increase in fertilizer would result in a decrease in crop yield, which is option B. Option A is not true because the coefficient of determination is always positive. Option C is not necessarily true because applying no fertilizer may result in a zero yield, rather than a negative yield. Option D is not true because the standard error is always non-negative.

Table 14.1 the Agricultural Extension Agent's Office Has Tracked Fertilizer Application and Application