margot is studying the yield of bushels of wheat in comparison to the amount of rainfall, in inches, that…

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? a 0.78 b 47.3 c 48.08 d 60.64
Answer
Answer:
A. 0.78
Explanation:
Step1: Identify the slope - intercept form
The linear regression equation is $y = 47.3+0.78x$, which is in the form $y = mx + b$ where $m$ is the slope and $b$ is the y - intercept.
Step2: Understand the meaning of the slope
In a linear relationship $y=mx + b$, the slope $m$ represents the change in $y$ for a unit change in $x$. Here, $y$ is the yield of wheat and $x$ is the amount of rainfall. The slope $m = 0.78$. So, for an additional 1 inch of rain (a unit change in $x$), the change in the yield of wheat (change in $y$) is 0.78 bushels.