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- Regression (textbook cost)
Regression (textbook cost)
Class Time:
Names:
Student learning outcomes
- The student will calculate and construct the line of best fit between two variables.
- The student will evaluate the relationship between two variables to determine if that relationship is significant.
Collect the data
Survey ten textbooks. Collect bivariate data (number of pages in a textbook, the cost of the textbook).
- Complete the table.
Number of pages |
Cost of textbook |
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- Which variable should be the dependent variable and which should be the independent
variable? Why?
- Graph “pages” vs. “cost.” Plot the points on the graph in
Analyze the Data . Label both axes with words. Scale both axes.
Analyze the data
Enter your data into your calculator or computer.
Write the linear equation, rounding to four decimal places.
- Calculate the following:
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a = ______
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b = ______
- correlation = ______
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n = ______
- equation:
y = ______
- Is the correlation significant? Why or why not? (Answer in complete sentences.)
- Supply an answer for the following senarios:
- For a textbook with 400 pages, predict the cost.
- For a textbook with 600 pages, predict the cost.
- Obtain the graph on your calculator or computer. Sketch the regression line.
Discussion questions
- Answer each question in complete sentences.
- Does the line seem to fit the data? Why?
- What does the correlation imply about the relationship between the number of pages and the cost?
- Are there any outliers? If so, which point(s) is an outlier?
- Should the outlier, if it exists, be removed? Why or why not?
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Source:
OpenStax, Introductory statistics. OpenStax CNX. May 06, 2016 Download for free at http://legacy.cnx.org/content/col11562/1.18
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