The Subway Task

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The table shows the price of riding
the subway between various
stops in San Francisco. A person
who rides the subway scans their
card when the enter, and then
they pay when they leave.
1. Would you expect the
data to have a positive or
negative correlation?
Explain your answer in the
context of this problem.
2. The scatter plot is shown below, along with the line of best fit. The equation of the line of best fit is
𝑓(𝑥) = .054𝑥 + 1.012
3.
Which routes have a high cost for the distance? Explain how you know from the graph.
4. For the routes you listed in #3, draw the line segments that represent the residual on the graph. Estimate the
residual for those points.
5. If an additional route was added to the schedule that took 55 minutes and cost $2.32, predict how the line of
best fit would change.
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