Questions: 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. Based on the scatterplot, what do you conclude about a linear correlation?
Weight (Ib): 2880, 3380, 3825, 4225, 4335, 2640, 3465
Highway (mpg): 33, 30, 27, 24, 23, 36, 28
Which scatterplot below shows the data?
A.
B.
C.
D.
Transcript text: 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. Based on the scatterplot, what do you conclude about a linear correlation?
\begin{tabular}{l|c|c|c|c|c|c|c}
\hline Weight (Ib) & 2880 & 3380 & 3825 & 4225 & 4335 & 2640 & 3465 \\
\hline Highway (mpg) & 33 & 30 & 27 & 24 & 23 & 36 & 28 \\
\hline
\end{tabular}
Which scatterplot below shows the data?
A.
B.
C.
D.
Solution
Solution Steps
Step 1: Identify the Data Points
The given data points are:
(2880, 33)
(3380, 30)
(3825, 27)
(4225, 24)
(4335, 23)
(2640, 36)
(3465, 28)
Step 2: Plot the Data Points
Plot these data points on a scatterplot with Weight (lb) on the x-axis and Highway (mpg) on the y-axis.
Step 3: Compare with Given Scatterplots
Compare the plotted data points with the given scatterplots (A, B, C, D) to find the matching one.
Final Answer
The correct scatterplot that matches the data is Option C.