Question

For several years, farmers in Nebraska have kept track of the amount of rainfall (in inches) and the amount of corn produced (in bushels per acre). A strong and linear relationship has been observed between these variables. When a regression equation is constructed in order to predict amount of corn produced based on rainfall, it is found that the equation has an intercept of 89.54 and a slope of 0.13. From this information, we can conclude that

A as amount of rainfall increases by 1 inch, bushels per acre are predicted to go down by 0.13.

B as amount of rainfall increases by 1 inch, bushels per acre are predicted to go up by 0.13.

C as amount of rainfall increases by 1 inch, bushels per acre are predicted to go down by 89.54.

D as amount of rainfall increases by 1 inch, bushels per acre are predicted to go up by 89.54.

Answer 1

For several years, farmers in Nebraska have kept track of the amount of rainfall (in inches) and the amount of corn produced (in bushels per acre).

A strong and linear relationship has been observed between these variables.

Regression regression equation is constructed and equation has an intercept of 89.54 and a slope of 0.13 .

Intercept = 89.54

Slope = 0.13

Since , regression equation is constructed in order to predict amount of corn produced based on rainfall

Thus here we have

y ( Dependent Variable ) - amount of corn produced (in bushels per acre).     

x ( Independent Variable ) - amount of rainfall (in inches)

So , regression equation is given by

= 89.56 + 0.13 x

:

Here slope = 0.13 in regression equation implies that for every one unit of increament in variable x , there will be increament of 0.13 in variable y . Here it will go up (i.e increase) because slope = +0.13 is possitive in magnitude .

So correct option is

Option B) as amount of rainfall increases by 1 inch, bushels per acre are predicted to go up by 0.13.