An agricultural scientist data to study the amount of nitrogen added to a cornfield and the number of bushels of corn produced. This is the regression line of data where is measured in bushels and x is measured in pounds of nitrogen.

Question

y=0.43x+28.7
What is the meaning of the y-intercept of regression line .?

A. When no nitrogen is added to the field 28.7 bushes of corn are peodcrd .
B.when 28.7 pounds of nitrogen is added to the field no brushes of corn are produced .
C.when 0.43 pounds of nitrogen is added to the field 28.7 bushes of corn are produced.
D . When 28.7 pounds of nitrogen is added to the field 0.43 brushes of corn are produced .

Answer 1

The y-intercept of a regression line represents the value of the dependent variable (in this case, the number of bushels of corn produced, denoted as \( y \)) when the independent variable (the amount of nitrogen added, denoted as \( x \)) is equal to zero.

In the regression equation \( y = 0.43x + 28.7 \), the y-intercept is 28.7. This means that when no nitrogen (0 pounds) is added to the field, the predicted number of bushels of corn produced is 28.7.

Thus, the correct interpretation of the y-intercept is:

A. When no nitrogen is added to the field, 28.7 bushels of corn are produced.