A farmer kept track of crop yield versus amount of fertilizer used and produced

Question

A farmer kept track of crop yield versus amount of fertilizer used and produced this data table. Which of the following is an example of extrapolation using crop yield as the response variable?

A. All of the answers are correct.

B. Predicting the crop yield if the amount of fertilizer used is 125 lb

C. Predicting the crop yield if the amount of fertilizer used is 10 lb

D. Predicting the crop yield if the amount of fertilizer used is 100 lb

A farmer kept track of crop yield versus amount of fertilizer used and produced this data table. Find the regression coefficients b0 and b1 using crop yield as the response variable.

b0 = 1.24; b1 = 5.99

b0 = 5.99; b1 = 1.24

b0 = –5.99; b1 = 1.24

b0 = 5.99; b1 = –1.24

A. All of the answers are correct.

B. Predicting the crop yield if the amount of fertilizer used is 125 lb

C. Predicting the crop yield if the amount of fertilizer used is 10 lb

D. Predicting the crop yield if the amount of fertilizer used is 100 lb

A farmer kept track of crop yield versus amount of fertilizer used and produced this data table. Find the regression coefficients b0 and b1 using crop yield as the response variable.

b0 = 1.24; b1 = 5.99

b0 = 5.99; b1 = 1.24

b0 = –5.99; b1 = 1.24

b0 = 5.99; b1 = –1.24

Fertilizer (lb) 110.0 135.0 85.0 95.0 115.0 70.0 Crop Yield (bu) 44.0 50.0 28.0 33.0 41.0 25.0

Explanation / Answer

Extrapolation happens when we predict the value of response variable for the value of explanatory variable which is not in the range of the given data.

Hence,

Prediction of corp yield for 10 lb amount of fertilizer will be the extrapolation.

Option C is correct.

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