Question

select the correct answer. the scatter plot shows the association between the fat content and the calorie counts of some food items. which equation represents the line of best fit? a. y = 160x + 100 b. y = \frac{160}{7}x + 100 c. y = \frac{160}{7}x+\frac{100}{7} d. y = 160x + 700

Explanation:

Step1: Recall slope - intercept form

The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Find the y - intercept

The line crosses the y - axis at $y = 100$, so $b = 100$.

Step3: Estimate the slope

We can use two points on the line, say $(0,100)$ and $(7,260)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{260 - 100}{7-0}=\frac{160}{7}$.

Step4: Write the equation

The equation of the line of best fit is $y=\frac{160}{7}x + 100$.

Answer:

B. $y=\frac{160}{7}x + 100$