Question

question 6, 2.4.6
part 1 of 2
hw score: 28.85%, 30 of 104 points
points: 0 of 10
le lists weights (pounds) and highway mileage amounts (mpg) for seven automobiles. use the sample data to ct a scatterplot. use the first variable for the x - axis. based on the scatterplot, what do you conclude about a orrelation?

(lb)	3180	3515	3940	4395	4415	2275	3600

scatterplot below shows the data?
options with scatterplots (b, c, d) with weight (lb) on x - axis and highway (mpg) on y - axis, ranges 2000 - 5000 for x and 20 - 40 for y.

Explanation:

Step1: Analyze the data trend

We have weight (lb) as \( x \)-axis values: 3180, 3515, 3940, 4395, 4415, 2275, 3600 and highway mpg as \( y \)-axis values: 31, 28, 26, 23, 21, 38, 27. As weight increases, mpg generally decreases (except the 2275 lb with 38 mpg, but overall negative trend).

Step2: Match with scatterplot options

Looking at the options, option B's scatterplot shows a negative trend (as weight increases, mpg decreases), which matches our data. Other options: C shows positive trend, D has no clear trend, and the first option (not fully visible) doesn't match.

Answer:

B. The scatterplot with weight on x - axis, mpg on y - axis, showing a negative trend (points generally decreasing as weight increases)