Question

the scatter plot shows the relationship between height, in inches (in.), and weight, in pounds (lb), of 25 dachshunds, a breed of dogs. the linear equation that best models this data is y = 6.33x - 27.5. use the model to complete the statements. the slope of the line is. the slope represents

Explanation:

Step1: Recall slope - intercept form

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

Step2: Identify the slope

Given the line $y = 6.33x-27.5$, by comparing with $y = mx + b$, the slope $m = 6.33$.

Step3: Interpret the slope

In the context of height ($x$, in inches) and weight ($y$, in pounds), the slope represents the increase in weight (in pounds) for every one - inch increase in height.

Answer:

The slope of the line is $6.33$. The slope represents the increase in weight (in pounds) for each one - inch increase in the height of dachshunds.