Question

the table lists weights (pounds) and highway mileage amounts (mpg) for seven automobiles. use the sample data to construct a scatterplot. (use the first variable for the x - axis)
weight (lb) | highway (mpg)
3240 | 31
3255 | 30
3700 | 26
4485 | 22
4595 | 21
2200 | 39
3470 | 28

which scatterplot below shows the data?
options: a, b, c, d (with corresponding scatterplot images)
is there a linear relationship between weight and highway mileage?
a. yes, as the weight increases the highway mileage increases.
b. no, there appears to be a relationship, but it is not linear.
c. yes, as the weight increases the highway mileage decreases.

Explanation:

Step1: Analyze the data points

We have the following data pairs (Weight, Highway MPG): (3240, 31), (3255, 30), (3700, 26), (4485, 22), (4595, 21), (2200, 39), (3470, 28). As weight increases, highway MPG generally decreases. Now, let's check the scatterplots:

• Plot A: Points seem to have no clear negative trend.
• Plot B: Doesn't match the trend.
• Plot C: As weight (x - axis, increasing from left to right) increases, highway MPG (y - axis) decreases, which matches our data trend.
• Plot D: Doesn't match the negative trend.

Step2: Confirm the correct scatterplot

By matching the trend of weight (x) and highway MPG (y) (negative correlation, as weight increases, MPG decreases), we can see that Plot C shows this relationship.

Answer:

C (the scatterplot labeled C)