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Math 153 Summary

# Math 153 Summary - COMP1022Q Introduction to Computing with...

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Suppose for every email message that you receive in the next week, you keep track of • Whether the message is spam • Whether the sender is a family member, a friend, or someone else • Whether the message contains an emoticon (such as a smiley face : ) ) • How many words are in the message • What day of the week the message was sent What are the observational units in this study? Emails Which of these variables is binary categorical? Whether the message is spam Whether the message contains an emoticon (such as a smiley face : ) ) Write a research question that could be answered with data collected from these variables. Do emails from family members contain more words than emails from a friend? You want to compare prices of textbooks, so you ask six friends who are science majors and six friends who are humanities majors to report how much they spent on textbooks this term. Which would be appropriate for comparing responses of science and humanities majors — a dot plot or a bar graph? Explain why. A dot plot, because the variable is quantitative. You want to investigate whether teenagers in England tend to read more Harry Potter books than teenagers in the United States. Identify the populations in this study. All teenagers in England; all teenagers in United States Identify the explanatory variable, and classify it as categorical or quantitative. Country (categorical) The National Retail Federation sponsors surveys of consumer behavior. One such survey, conducted on a yearly basis, asks American adults whether they plan to celebrate Mother’s Day, what kind of gift(s) they plan to buy, and how much they plan to spend. The 2007 survey was conducted on April 4–11 with 7859 consumers participating. Of these respondents, 84.5% said that they were planning to celebrate Mother’s Day, expecting to spend an average of \$139.14.

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