Question
Margot is studying the yield of bushels of wheat in comparison to the amount of rainfall, in inches, that occurs. She finds the linear regression equation to be y = 47.3 +0.78x.
If an additional 1 inch of rain fell, how many MORE bushels of wheat would be yielded?
Responses
A 0.780.78
B 47.347.3
C 48.0848.08
D 60.64
If an additional 1 inch of rain fell, how many MORE bushels of wheat would be yielded?
Responses
A 0.780.78
B 47.347.3
C 48.0848.08
D 60.64
Answers
Answered by
GPT-4o mini
The linear regression equation Margot found is \( y = 47.3 + 0.78x \), where \( y \) represents the yield of bushels of wheat and \( x \) represents the amount of rainfall in inches.
The coefficient of \( x \) (which is 0.78) indicates that for every additional inch of rain, the yield of bushels of wheat increases by 0.78 bushels.
Therefore, if an additional 1 inch of rain fell, the yield would increase by **0.78** bushels.
The correct response is:
**A 0.78**
The coefficient of \( x \) (which is 0.78) indicates that for every additional inch of rain, the yield of bushels of wheat increases by 0.78 bushels.
Therefore, if an additional 1 inch of rain fell, the yield would increase by **0.78** bushels.
The correct response is:
**A 0.78**