QUESTION IMAGE
Question
this scatterplot shows the relationship between the number of slices of pizza eaten by each member of a football team (x) and the number of laps around the block the player could run immediately afterward (y). the equation of the regression line shown on the graph is $hat{y}=10 - 0.67x$how to interpret the slope$hat{y}=10 - 0.67x$for every 1 additional pizza slice eaten, our model predicts the number of laps will decrease by 0.67 laps$\frac{delta y}{delta x}$this scatterplot shows the relationship between the number of slices of pizza eaten by each member of amultiple-choice question\for every 1 additional pizza slice eaten, our model predicts the number of laps will decrease by 0.67 laps\this is true because -0.67 is they-interceptslope
In a linear regression equation of the form $\hat{y} = a + bx$, the coefficient $b$ represents the slope. This slope indicates the change in the predicted value of $\hat{y}$ for each 1-unit increase in $x$. Here, the equation is $\hat{y} = 10 - 0.67x$, where $-0.67$ is the coefficient of $x$, so it is the slope that describes the decrease in laps per additional pizza slice.
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slope