the table lists weights (pounds) and highway mileage amounts (mpg) for seven automobiles. use the sample…

the table lists weights (pounds) and highway mileage amounts (mpg) for seven automobiles. use the sample data to construct a scatter - plot. use the first variable for the x - axis. based on the scatter - plot, what do you conclude about a linear correlation?\nweight (lb) 2745 2900 3210 3965 4035 2230 3190\nhighway (mpg) 34 33 30 26 24 38 31\nwhich scatter - plot below shows the data?\nis there a linear relationship between weight and highway mileage?\na. yes, as the weight increases the highway mileage decreases.\nb. no, there appears to be a relationship, but it is not linear.\nc. no, there appears to be no relationship.\nd. yes, as the weight increases the highway mileage increases.
Answer
Explanation:
Step1: Identify x - axis and y - axis variables
The weight (in pounds) is the first variable, so it is on the x - axis and the highway mileage (mpg) is on the y - axis.
Step2: Analyze data points
We have the following data points: (2745,34), (2900,33), (3210,30), (3965,26), (4035,24), (2230,38), (3190,31). As the weight values increase from 2230 to 4035, the highway - mileage values generally decrease from 38 to 24.
Step3: Match scatter - plot
The scatter - plot should show points such that as x (weight) increases, y (highway mileage) decreases.
Step4: Determine linear relationship
Based on the trend of the data points, as the weight of the automobiles increases, the highway mileage decreases, indicating a negative linear relationship.
Answer:
The scatter - plot that shows the data is the one where as the x - value (weight) increases, the y - value (highway mileage) decreases. A. Yes, as the weight increases the highway mileage decreases.