Concept explainers
Pizza and the Subway. For Exercises 1–6, refer to the following table that lists the cost (in dollars) of a slice of pizza in New York City and the subway fare in the same year.
1. Construct a
Draw a scatter plot.
Explain the result from the scatter plot.
Answer to Problem 1CRE
- The scatter plot is given below:
Explanation of Solution
Calculation:
The costs of a slice of pizza and the subway fares in New York for a year are given.
Best-fit line:
In a scatter plot, the best possible straight line, which is closest to the points is called best-fit line.
Scatter plot with fitted line:
Software procedure:
Step-by-step software procedure to draw scatter plot using EXCEL software is as follows:
- Open an EXCEL file.
- In column A and B, the Pizza cost and Subway fare data were entered.
- Select the data > click on insert.
- Chose X Y (Scatter) from chart.
- Click OK.
- Click on the data points>right click> add trendline.
- Choose linear.
- Click on display equation on chart and display R-squared value on chart.
- Output using EXCEL software is given below:
From the above scatter plot, it can be said that all the points are nearer to the best fitted line.
The coefficient of determination is 98.36%. Thus, 98.36% variability in subway fare can be explained by the pizza cost using the best fitted model.
Hence, it can be said that the fit is very good.
Moreover, it can be said that for increasing pizza cost, the subway fare has also increased and the trend line is an ascending trend line. Therefore, there is a strong positive correlation between the variables.
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Chapter 7 Solutions
Statistical Reasoning for Everyday Life, Books a la Carte Edition (5th Edition)
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