Use computer software to find the multiple regression equation. Can the equation be used for prediction?
-FPEA, the Farm Production Enhancement Agency, regressed corn output against acreage, rainfall, and a trend line. The trend line is proxy for technological advancement in farming from improved pest control, fertilization,
Land management, and farming implements.
A) CORNPROD $= - 21.1 + 0.036 \mathrm { ACRES } + 2.62 \mathrm { RAIN } + 27.6 \mathrm { TREND }$; No, because the P-value is low
B) CORNPROD $= - 0.9 + 1.68 \mathrm { ACRES } + 0.79 \mathrm { RAIN } + 10.2 \mathrm { TREND }$; Yes, because the adjusted $\mathrm { R } 2$ is high
C) CORNPROD $= - 16.3 + 2.6 \mathrm { ACRES } + 3.9 \mathrm { RAIN } + 21.3 \mathrm { TREND }$; Yes, because the the $\mathrm { R } ^ { 2 }$ is high
D) CORNPROD $= - 21.1 + 0.036 \mathrm { ACRES } + 2.62 \mathrm { RAIN } + 27.6 \mathrm { TREND }$; Yes, because the $\mathrm { R } ^ { 2 }$ is high

Question

Use computer software to find the multiple regression equation. Can the equation be used for prediction?
-FPEA, the Farm Production Enhancement Agency, regressed corn output against acreage, rainfall, and a trend line. The trend line is proxy for technological advancement in farming from improved pest control, fertilization,
Land management, and farming implements.  
A) CORNPROD $= - 21.1 + 0.036 \mathrm { ACRES } + 2.62 \mathrm { RAIN } + 27.6 \mathrm { TREND }$; No, because the P-value is low 
B) CORNPROD $= - 0.9 + 1.68 \mathrm { ACRES } + 0.79 \mathrm { RAIN } + 10.2 \mathrm { TREND }$; Yes, because the adjusted $\mathrm { R } 2$ is high 
C) CORNPROD $= - 16.3 + 2.6 \mathrm { ACRES } + 3.9 \mathrm { RAIN } + 21.3 \mathrm { TREND }$; Yes, because the the $\mathrm { R } ^ { 2 }$ is high 
D) CORNPROD $= - 21.1 + 0.036 \mathrm { ACRES } + 2.62 \mathrm { RAIN } + 27.6 \mathrm { TREND }$; Yes, because the $\mathrm { R } ^ { 2 }$ is high

Quizplus · Accepted Answer

The best choice is D, as it has a high R-squared value. This indicates that the model explains a significant amount of the variation in the dependent variable, and suggests that the equation may be useful for prediction. The P-value is not relevant to this question as it is not specified what level of significance is being used.

Use Computer Software to Find the Multiple Regression Equation =−21.1+0.036ACRES+2.62RAIN+27.6TREND= - 21.1 + 0.036 \mathrm { ACRES } + 2.62 \mathrm { RAIN } + 27.6 \mathrm { TREND }=−21.1+0.036ACRES+2.62RAIN+27.6TREND

Use Computer Software to Find the Multiple Regression Equation $= - 21.1 + 0.036 \mathrm { ACRES } + 2.62 \mathrm { RAIN } + 27.6 \mathrm { TREND }$