11. Correlation
Scatterplots & Intro to Correlation
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The table shows the mean driving speed of drivers in a 55mph zone and the number of speeding tickets they've received in the past 10 years. Plot the data in a scatterplot with speed on the x-axis. What can you determine about the relationship between mean speed and the number of speeding tickets?
A
Positive correlation
B
Negative correlation
C
Nonlinear correlation
D
No correlation
Verified step by step guidance1
Step 1: Begin by identifying the variables in the table. The 'Mean Speed' is the independent variable (x-axis), and the '# Tickets' is the dependent variable (y-axis). These variables will be plotted on a scatterplot.
Step 2: Create a scatterplot by plotting each pair of values from the table. For example, plot the point (63, 4), where 63 is the mean speed and 4 is the number of tickets. Repeat this for all pairs in the table.
Step 3: Observe the pattern of the points on the scatterplot. Look for trends or relationships between the x-axis (mean speed) and y-axis (number of tickets). Specifically, check if the points tend to increase together, decrease together, or show no clear pattern.
Step 4: Analyze the relationship. If the points show an upward trend (as mean speed increases, the number of tickets also increases), this indicates a positive correlation. If the points show a downward trend, it indicates a negative correlation. If the points are scattered without a clear trend, it suggests no correlation.
Step 5: Based on the scatterplot and the observed trend, determine the type of correlation (positive, negative, nonlinear, or no correlation). Use this analysis to answer the question about the relationship between mean speed and the number of speeding tickets.
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