Question

look at the following scatterplot. what would be a correct interpretation of the slope? y = - 0.66 + 1.01x a. on average, as co content increases by 1 mg, tar content increases by 1.01 mg. b. on average, as co content increases by 0.66 mg, tar content increases by 1.01 mg. c. on average, as co content increases by 0.66 mg, tar content increases by 0.66 mg. d. on average, as co content increases by 1 mg, tar content increases by 0.66 mg.

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. In the given equation $y=-0.66 + 1.01x$, the slope $m = 1.01$.

Step2: Interpret the slope

The slope represents the change in $y$ (tar content) for a unit change in $x$ (CO content). So, for every 1 - unit increase in $x$ (CO content in mg), $y$ (tar content in mg) increases by 1.01 units on average.

Answer:

A. On average, as CO content increases by 1 mg, tar content increases by 1.01 mg.