1. **State the problem:** We are given the equation of the best fit line for a scatterplot representing the relationship between the total bill ($x$) and the percentage of the bill left as a tip ($y$): $$y = -0.632x + 27.1$$ We need to find the value of the slope and interpret it in context, and find the y-intercept and interpret it in context. 2. **Recall the slope-intercept form:** The equation of a line is generally written as: $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. **Identify the slope and y-intercept:** From the given equation: - Slope $m = -0.632$ - Y-intercept $b = 27.1$ 4. **Interpret the slope:** The slope represents the rate of change of the tip percentage with respect to the total bill. Since $m = -0.632$, this means: - For every 1 dollar increase in the total bill, the tip percentage decreases by approximately 0.632 percentage points. 5. **Interpret the y-intercept:** The y-intercept is the value of $y$ when $x=0$. Here, $b=27.1$ means: - When the total bill is 0 dollars, the tip percentage would be 27.1%. This is the starting point of the tip percentage before any bill amount is added. **Final answers:** - Slope: $-0.632$, meaning the tip percentage decreases by 0.632% for each additional dollar in the bill. - Y-intercept: $27.1$, meaning the tip percentage would be 27.1% if the bill were zero.